%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL947^10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:07 AM UTC 2026
% Result : Theorem 15.93s 2.98s
% Output : CNFRefutation 15.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 30
% Syntax : Number of formulae : 1053 ( 112 unt; 0 typ; 10 def)
% Number of atoms : 26588 (7185 equ; 0 cnn)
% Maximal formula atoms : 44 ( 25 avg)
% Number of connectives : 51012 (5249 ~;10499 |; 32 &;34845 @)
% ( 1 <=>; 386 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 12 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 74 ( 71 usr; 6 con; 0-8 aty)
% Number of variables : 8919 ( 67 ^;8847 !; 5 ?;8919 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_member,type,
member: $i > $i > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mexists_di,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mforall_di,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_qmltpeq,type,
qmltpeq: $i > $i > mworld > $o ).
thf(tp_sK10_SY2657,type,
sK10_SY2657: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK11_SY2663,type,
sK11_SY2663: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK12_SY2691,type,
sK12_SY2691: mworld > $i > $i > mworld > mworld > $i ).
thf(tp_sK13_SY2698,type,
sK13_SY2698: mworld > $i > $i > mworld > mworld > $i ).
thf(tp_sK14_SY2672,type,
sK14_SY2672: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK15_SY2634,type,
sK15_SY2634: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK16_SY2689,type,
sK16_SY2689: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK17_SY2725,type,
sK17_SY2725: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK18_SY2702,type,
sK18_SY2702: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK19_SY2635,type,
sK19_SY2635: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK1_SY12,type,
sK1_SY12: mworld ).
thf(tp_sK20_SY2674,type,
sK20_SY2674: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK21_SY2677,type,
sK21_SY2677: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK22_SY2680,type,
sK22_SY2680: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK23_SY2683,type,
sK23_SY2683: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK24_SY2686,type,
sK24_SY2686: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK25_SY2715,type,
sK25_SY2715: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK26_SY2705,type,
sK26_SY2705: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK27_SY2706,type,
sK27_SY2706: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK28_SY2635,type,
sK28_SY2635: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK29_SY2740,type,
sK29_SY2740: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK30_SY2675,type,
sK30_SY2675: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK31_SY2678,type,
sK31_SY2678: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK32_SY2681,type,
sK32_SY2681: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK33_SY2684,type,
sK33_SY2684: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK34_SY2687,type,
sK34_SY2687: mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK35_SY2760,type,
sK35_SY2760: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK36_SY2675,type,
sK36_SY2675: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK37_SY2678,type,
sK37_SY2678: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK38_SY2681,type,
sK38_SY2681: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK39_SY2684,type,
sK39_SY2684: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK3_SY2098,type,
sK3_SY2098: mworld > $i ).
thf(tp_sK40_SY2687,type,
sK40_SY2687: $i > mworld > mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK41_SY2718,type,
sK41_SY2718: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK42_SY2718,type,
sK42_SY2718: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK43_SY2761,type,
sK43_SY2761: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK44_SY2770,type,
sK44_SY2770: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK45_SY2718,type,
sK45_SY2718: mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK46_SY2763,type,
sK46_SY2763: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK47_SY2718,type,
sK47_SY2718: mworld > mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK48_SY2765,type,
sK48_SY2765: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK49_SY2767,type,
sK49_SY2767: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK4_SY2213,type,
sK4_SY2213: mworld ).
thf(tp_sK50_SY2776,type,
sK50_SY2776: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK51_SY2771,type,
sK51_SY2771: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK52_SY2773,type,
sK52_SY2773: mworld > mworld > mworld > mworld > $i > $i > $i > mworld > mworld ).
thf(tp_sK53_SY2778,type,
sK53_SY2778: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK54_SY2780,type,
sK54_SY2780: mworld > mworld > $i > $i > mworld > mworld > mworld ).
thf(tp_sK5_SY2560,type,
sK5_SY2560: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK6_SY2600,type,
sK6_SY2600: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK7_SY2602,type,
sK7_SY2602: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK8_SY2611,type,
sK8_SY2611: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK9_SY2631,type,
sK9_SY2631: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_subset,type,
subset: $i > $i > mworld > $o ).
thf(tp_union,type,
union: $i > $i > $i ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_def) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_def) ).
thf(1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( qmltpeq @ B @ C ) )
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ C ) ) @ ( mbox @ ( member @ D @ B ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ C ) ) @ ( mbox @ ( member @ D @ B ) ) ) ) ) ) )
@ ( mbox @ ( qmltpeq @ B @ C ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
thf(2,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( subset @ B @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
thf(3,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mand
@ ( mbox
@ ( mimplies @ ( mbox @ ( subset @ B @ C ) )
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) )
@ ( mbox @ ( subset @ B @ C ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
thf(4,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ C ) @ ( union @ C @ B ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
thf(5,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ B @ C ) ) @ ( mand @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( subset @ C @ B ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( subset @ C @ B ) ) ) @ ( mbox @ ( qmltpeq @ B @ C ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
thf(6,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] :
( mbox
@ ( mforall_di
@ ^ [D: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( member @ D @ ( union @ B @ C ) ) ) @ ( mor @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ ( member @ D @ B ) ) @ ( mbox @ ( member @ D @ C ) ) ) @ ( mbox @ ( member @ D @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
thf(7,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( subset @ B @ C ) ) @ ( mbox @ ( qmltpeq @ ( union @ B @ C ) @ C ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_union) ).
thf(8,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subset @ C @ A ) ) ) @ ( mbox @ ( subset @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_substitution_2) ).
thf(9,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( subset @ A @ C ) ) ) @ ( mbox @ ( subset @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_substitution_1) ).
thf(10,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ C @ A ) ) ) @ ( mbox @ ( member @ C @ B ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_substitution_2) ).
thf(11,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( member @ A @ C ) ) ) @ ( mbox @ ( member @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_substitution_1) ).
thf(12,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ C @ A ) @ ( union @ C @ B ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_substitution_2) ).
thf(13,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( union @ A @ C ) @ ( union @ B @ C ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_substitution_1) ).
thf(14,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
thf(15,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
thf(16,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
thf(17,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(18,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_transitive) ).
thf(19,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(20,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ B ) @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idempotency_of_union) ).
thf(21,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( union @ B @ B ) @ B ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[20]) ).
thf(22,plain,
( ( ! [SY12: mworld] :
( ( mrel @ mactual @ SY12 )
=> ! [SY10: $i] :
( ( eiw_di @ SY10 @ SY12 )
=> ! [SY11: mworld] :
( ( mrel @ SY12 @ SY11 )
=> ( qmltpeq @ ( union @ SY10 @ SY10 ) @ SY10 @ SY11 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[21,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(23,plain,
( ( ! [SY380: mworld] :
( ( mrel @ mactual @ SY380 )
=> ! [SY357: $i] :
( ( eiw_di @ SY357 @ SY380 )
=> ! [SY358: mworld] :
( ( mrel @ SY380 @ SY358 )
=> ! [SY312: $i] :
( ( eiw_di @ SY312 @ SY358 )
=> ( ! [SY313: mworld] :
( ( mrel @ SY358 @ SY313 )
=> ( ! [SY314: mworld] :
( ( mrel @ SY313 @ SY314 )
=> ( qmltpeq @ SY357 @ SY312 @ SY314 ) )
=> ! [SY315: mworld] :
( ( mrel @ SY313 @ SY315 )
=> ! [SY316: $i] :
( ( eiw_di @ SY316 @ SY315 )
=> ( ! [SY317: mworld] :
( ( mrel @ SY315 @ SY317 )
=> ( ! [SY318: mworld] :
( ( mrel @ SY317 @ SY318 )
=> ( member @ SY316 @ SY357 @ SY318 ) )
=> ! [SY251: mworld] :
( ( mrel @ SY317 @ SY251 )
=> ( member @ SY316 @ SY312 @ SY251 ) ) ) )
& ! [SY320: mworld] :
( ( mrel @ SY315 @ SY320 )
=> ( ! [SY253: mworld] :
( ( mrel @ SY320 @ SY253 )
=> ( member @ SY316 @ SY312 @ SY253 ) )
=> ! [SY322: mworld] :
( ( mrel @ SY320 @ SY322 )
=> ( member @ SY316 @ SY357 @ SY322 ) ) ) ) ) ) ) ) )
& ! [SY323: mworld] :
( ( mrel @ SY358 @ SY323 )
=> ( ! [SY324: mworld] :
( ( mrel @ SY323 @ SY324 )
=> ! [SY325: $i] :
( ( eiw_di @ SY325 @ SY324 )
=> ( ! [SY326: mworld] :
( ( mrel @ SY324 @ SY326 )
=> ( ! [SY327: mworld] :
( ( mrel @ SY326 @ SY327 )
=> ( member @ SY325 @ SY357 @ SY327 ) )
=> ! [SY260: mworld] :
( ( mrel @ SY326 @ SY260 )
=> ( member @ SY325 @ SY312 @ SY260 ) ) ) )
& ! [SY329: mworld] :
( ( mrel @ SY324 @ SY329 )
=> ( ! [SY262: mworld] :
( ( mrel @ SY329 @ SY262 )
=> ( member @ SY325 @ SY312 @ SY262 ) )
=> ! [SY331: mworld] :
( ( mrel @ SY329 @ SY331 )
=> ( member @ SY325 @ SY357 @ SY331 ) ) ) ) ) ) )
=> ! [SY332: mworld] :
( ( mrel @ SY323 @ SY332 )
=> ( qmltpeq @ SY357 @ SY312 @ SY332 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(24,plain,
( ( ! [SY440: mworld] :
( ( mrel @ mactual @ SY440 )
=> ! [SY438: $i] :
( ( eiw_di @ SY438 @ SY440 )
=> ! [SY439: mworld] :
( ( mrel @ SY440 @ SY439 )
=> ( subset @ SY438 @ SY438 @ SY439 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(25,plain,
( ( ! [SY678: mworld] :
( ( mrel @ mactual @ SY678 )
=> ! [SY661: $i] :
( ( eiw_di @ SY661 @ SY678 )
=> ! [SY662: mworld] :
( ( mrel @ SY678 @ SY662 )
=> ! [SY628: $i] :
( ( eiw_di @ SY628 @ SY662 )
=> ( ! [SY629: mworld] :
( ( mrel @ SY662 @ SY629 )
=> ( ! [SY630: mworld] :
( ( mrel @ SY629 @ SY630 )
=> ( subset @ SY661 @ SY628 @ SY630 ) )
=> ! [SY631: mworld] :
( ( mrel @ SY629 @ SY631 )
=> ! [SY632: $i] :
( ( eiw_di @ SY632 @ SY631 )
=> ! [SY633: mworld] :
( ( mrel @ SY631 @ SY633 )
=> ( ! [SY634: mworld] :
( ( mrel @ SY633 @ SY634 )
=> ( member @ SY632 @ SY661 @ SY634 ) )
=> ! [SY585: mworld] :
( ( mrel @ SY633 @ SY585 )
=> ( member @ SY632 @ SY628 @ SY585 ) ) ) ) ) ) ) )
& ! [SY636: mworld] :
( ( mrel @ SY662 @ SY636 )
=> ( ! [SY637: mworld] :
( ( mrel @ SY636 @ SY637 )
=> ! [SY638: $i] :
( ( eiw_di @ SY638 @ SY637 )
=> ! [SY639: mworld] :
( ( mrel @ SY637 @ SY639 )
=> ( ! [SY640: mworld] :
( ( mrel @ SY639 @ SY640 )
=> ( member @ SY638 @ SY661 @ SY640 ) )
=> ! [SY591: mworld] :
( ( mrel @ SY639 @ SY591 )
=> ( member @ SY638 @ SY628 @ SY591 ) ) ) ) ) )
=> ! [SY642: mworld] :
( ( mrel @ SY636 @ SY642 )
=> ( subset @ SY661 @ SY628 @ SY642 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(26,plain,
( ( ! [SY742: mworld] :
( ( mrel @ mactual @ SY742 )
=> ! [SY738: $i] :
( ( eiw_di @ SY738 @ SY742 )
=> ! [SY739: mworld] :
( ( mrel @ SY742 @ SY739 )
=> ! [SY731: $i] :
( ( eiw_di @ SY731 @ SY739 )
=> ! [SY732: mworld] :
( ( mrel @ SY739 @ SY732 )
=> ( qmltpeq @ ( union @ SY738 @ SY731 ) @ ( union @ SY731 @ SY738 ) @ SY732 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(27,plain,
( ( ! [SY884: mworld] :
( ( mrel @ mactual @ SY884 )
=> ! [SY873: $i] :
( ( eiw_di @ SY873 @ SY884 )
=> ! [SY874: mworld] :
( ( mrel @ SY884 @ SY874 )
=> ! [SY852: $i] :
( ( eiw_di @ SY852 @ SY874 )
=> ( ! [SY853: mworld] :
( ( mrel @ SY874 @ SY853 )
=> ( ! [SY854: mworld] :
( ( mrel @ SY853 @ SY854 )
=> ( qmltpeq @ SY873 @ SY852 @ SY854 ) )
=> ( ! [SY855: mworld] :
( ( mrel @ SY853 @ SY855 )
=> ( subset @ SY873 @ SY852 @ SY855 ) )
& ! [SY856: mworld] :
( ( mrel @ SY853 @ SY856 )
=> ( subset @ SY852 @ SY873 @ SY856 ) ) ) ) )
& ! [SY857: mworld] :
( ( mrel @ SY874 @ SY857 )
=> ( ( ! [SY858: mworld] :
( ( mrel @ SY857 @ SY858 )
=> ( subset @ SY873 @ SY852 @ SY858 ) )
& ! [SY859: mworld] :
( ( mrel @ SY857 @ SY859 )
=> ( subset @ SY852 @ SY873 @ SY859 ) ) )
=> ! [SY860: mworld] :
( ( mrel @ SY857 @ SY860 )
=> ( qmltpeq @ SY873 @ SY852 @ SY860 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(28,plain,
( ( ! [SY1083: mworld] :
( ( mrel @ mactual @ SY1083 )
=> ! [SY1070: $i] :
( ( eiw_di @ SY1070 @ SY1083 )
=> ! [SY1071: mworld] :
( ( mrel @ SY1083 @ SY1071 )
=> ! [SY1045: $i] :
( ( eiw_di @ SY1045 @ SY1071 )
=> ! [SY1046: mworld] :
( ( mrel @ SY1071 @ SY1046 )
=> ! [SY1047: $i] :
( ( eiw_di @ SY1047 @ SY1046 )
=> ( ! [SY1048: mworld] :
( ( mrel @ SY1046 @ SY1048 )
=> ( ! [SY1049: mworld] :
( ( mrel @ SY1048 @ SY1049 )
=> ( member @ SY1047 @ ( union @ SY1070 @ SY1045 ) @ SY1049 ) )
=> ( ! [SY1050: mworld] :
( ( mrel @ SY1048 @ SY1050 )
=> ( member @ SY1047 @ SY1070 @ SY1050 ) )
| ! [SY1013: mworld] :
( ( mrel @ SY1048 @ SY1013 )
=> ( member @ SY1047 @ SY1045 @ SY1013 ) ) ) ) )
& ! [SY1052: mworld] :
( ( mrel @ SY1046 @ SY1052 )
=> ( ( ! [SY1053: mworld] :
( ( mrel @ SY1052 @ SY1053 )
=> ( member @ SY1047 @ SY1070 @ SY1053 ) )
| ! [SY1016: mworld] :
( ( mrel @ SY1052 @ SY1016 )
=> ( member @ SY1047 @ SY1045 @ SY1016 ) ) )
=> ! [SY1055: mworld] :
( ( mrel @ SY1052 @ SY1055 )
=> ( member @ SY1047 @ ( union @ SY1070 @ SY1045 ) @ SY1055 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(29,plain,
( ( ! [SY1163: mworld] :
( ( mrel @ mactual @ SY1163 )
=> ! [SY1157: $i] :
( ( eiw_di @ SY1157 @ SY1163 )
=> ! [SY1158: mworld] :
( ( mrel @ SY1163 @ SY1158 )
=> ! [SY1146: $i] :
( ( eiw_di @ SY1146 @ SY1158 )
=> ! [SY1147: mworld] :
( ( mrel @ SY1158 @ SY1147 )
=> ( ! [SY1148: mworld] :
( ( mrel @ SY1147 @ SY1148 )
=> ( subset @ SY1157 @ SY1146 @ SY1148 ) )
=> ! [SY1149: mworld] :
( ( mrel @ SY1147 @ SY1149 )
=> ( qmltpeq @ ( union @ SY1157 @ SY1146 ) @ SY1146 @ SY1149 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(30,plain,
( ( ! [SY1277: mworld] :
( ( mrel @ mactual @ SY1277 )
=> ! [SY1268: $i] :
( ( eiw_di @ SY1268 @ SY1277 )
=> ! [SY1269: mworld] :
( ( mrel @ SY1277 @ SY1269 )
=> ! [SY1251: $i] :
( ( eiw_di @ SY1251 @ SY1269 )
=> ! [SY1252: mworld] :
( ( mrel @ SY1269 @ SY1252 )
=> ! [SY1253: $i] :
( ( eiw_di @ SY1253 @ SY1252 )
=> ! [SY1254: mworld] :
( ( mrel @ SY1252 @ SY1254 )
=> ( ( ! [SY1255: mworld] :
( ( mrel @ SY1254 @ SY1255 )
=> ( qmltpeq @ SY1268 @ SY1251 @ SY1255 ) )
& ! [SY1256: mworld] :
( ( mrel @ SY1254 @ SY1256 )
=> ( subset @ SY1253 @ SY1268 @ SY1256 ) ) )
=> ! [SY1231: mworld] :
( ( mrel @ SY1254 @ SY1231 )
=> ( subset @ SY1253 @ SY1251 @ SY1231 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(31,plain,
( ( ! [SY1397: mworld] :
( ( mrel @ mactual @ SY1397 )
=> ! [SY1388: $i] :
( ( eiw_di @ SY1388 @ SY1397 )
=> ! [SY1389: mworld] :
( ( mrel @ SY1397 @ SY1389 )
=> ! [SY1371: $i] :
( ( eiw_di @ SY1371 @ SY1389 )
=> ! [SY1372: mworld] :
( ( mrel @ SY1389 @ SY1372 )
=> ! [SY1373: $i] :
( ( eiw_di @ SY1373 @ SY1372 )
=> ! [SY1374: mworld] :
( ( mrel @ SY1372 @ SY1374 )
=> ( ( ! [SY1375: mworld] :
( ( mrel @ SY1374 @ SY1375 )
=> ( qmltpeq @ SY1388 @ SY1371 @ SY1375 ) )
& ! [SY1376: mworld] :
( ( mrel @ SY1374 @ SY1376 )
=> ( subset @ SY1388 @ SY1373 @ SY1376 ) ) )
=> ! [SY1351: mworld] :
( ( mrel @ SY1374 @ SY1351 )
=> ( subset @ SY1371 @ SY1373 @ SY1351 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(32,plain,
( ( ! [SY1517: mworld] :
( ( mrel @ mactual @ SY1517 )
=> ! [SY1508: $i] :
( ( eiw_di @ SY1508 @ SY1517 )
=> ! [SY1509: mworld] :
( ( mrel @ SY1517 @ SY1509 )
=> ! [SY1491: $i] :
( ( eiw_di @ SY1491 @ SY1509 )
=> ! [SY1492: mworld] :
( ( mrel @ SY1509 @ SY1492 )
=> ! [SY1493: $i] :
( ( eiw_di @ SY1493 @ SY1492 )
=> ! [SY1494: mworld] :
( ( mrel @ SY1492 @ SY1494 )
=> ( ( ! [SY1495: mworld] :
( ( mrel @ SY1494 @ SY1495 )
=> ( qmltpeq @ SY1508 @ SY1491 @ SY1495 ) )
& ! [SY1496: mworld] :
( ( mrel @ SY1494 @ SY1496 )
=> ( member @ SY1493 @ SY1508 @ SY1496 ) ) )
=> ! [SY1471: mworld] :
( ( mrel @ SY1494 @ SY1471 )
=> ( member @ SY1493 @ SY1491 @ SY1471 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(33,plain,
( ( ! [SY1637: mworld] :
( ( mrel @ mactual @ SY1637 )
=> ! [SY1628: $i] :
( ( eiw_di @ SY1628 @ SY1637 )
=> ! [SY1629: mworld] :
( ( mrel @ SY1637 @ SY1629 )
=> ! [SY1611: $i] :
( ( eiw_di @ SY1611 @ SY1629 )
=> ! [SY1612: mworld] :
( ( mrel @ SY1629 @ SY1612 )
=> ! [SY1613: $i] :
( ( eiw_di @ SY1613 @ SY1612 )
=> ! [SY1614: mworld] :
( ( mrel @ SY1612 @ SY1614 )
=> ( ( ! [SY1615: mworld] :
( ( mrel @ SY1614 @ SY1615 )
=> ( qmltpeq @ SY1628 @ SY1611 @ SY1615 ) )
& ! [SY1616: mworld] :
( ( mrel @ SY1614 @ SY1616 )
=> ( member @ SY1628 @ SY1613 @ SY1616 ) ) )
=> ! [SY1591: mworld] :
( ( mrel @ SY1614 @ SY1591 )
=> ( member @ SY1611 @ SY1613 @ SY1591 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(34,plain,
( ( ! [SY1737: mworld] :
( ( mrel @ mactual @ SY1737 )
=> ! [SY1729: $i] :
( ( eiw_di @ SY1729 @ SY1737 )
=> ! [SY1730: mworld] :
( ( mrel @ SY1737 @ SY1730 )
=> ! [SY1714: $i] :
( ( eiw_di @ SY1714 @ SY1730 )
=> ! [SY1715: mworld] :
( ( mrel @ SY1730 @ SY1715 )
=> ! [SY1716: $i] :
( ( eiw_di @ SY1716 @ SY1715 )
=> ! [SY1717: mworld] :
( ( mrel @ SY1715 @ SY1717 )
=> ( ! [SY1718: mworld] :
( ( mrel @ SY1717 @ SY1718 )
=> ( qmltpeq @ SY1729 @ SY1714 @ SY1718 ) )
=> ! [SY1719: mworld] :
( ( mrel @ SY1717 @ SY1719 )
=> ( qmltpeq @ ( union @ SY1716 @ SY1729 ) @ ( union @ SY1716 @ SY1714 ) @ SY1719 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(35,plain,
( ( ! [SY1835: mworld] :
( ( mrel @ mactual @ SY1835 )
=> ! [SY1827: $i] :
( ( eiw_di @ SY1827 @ SY1835 )
=> ! [SY1828: mworld] :
( ( mrel @ SY1835 @ SY1828 )
=> ! [SY1812: $i] :
( ( eiw_di @ SY1812 @ SY1828 )
=> ! [SY1813: mworld] :
( ( mrel @ SY1828 @ SY1813 )
=> ! [SY1814: $i] :
( ( eiw_di @ SY1814 @ SY1813 )
=> ! [SY1815: mworld] :
( ( mrel @ SY1813 @ SY1815 )
=> ( ! [SY1816: mworld] :
( ( mrel @ SY1815 @ SY1816 )
=> ( qmltpeq @ SY1827 @ SY1812 @ SY1816 ) )
=> ! [SY1817: mworld] :
( ( mrel @ SY1815 @ SY1817 )
=> ( qmltpeq @ ( union @ SY1827 @ SY1814 ) @ ( union @ SY1812 @ SY1814 ) @ SY1817 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(36,plain,
( ( ! [SY1953: mworld] :
( ( mrel @ mactual @ SY1953 )
=> ! [SY1944: $i] :
( ( eiw_di @ SY1944 @ SY1953 )
=> ! [SY1945: mworld] :
( ( mrel @ SY1953 @ SY1945 )
=> ! [SY1927: $i] :
( ( eiw_di @ SY1927 @ SY1945 )
=> ! [SY1928: mworld] :
( ( mrel @ SY1945 @ SY1928 )
=> ! [SY1929: $i] :
( ( eiw_di @ SY1929 @ SY1928 )
=> ! [SY1930: mworld] :
( ( mrel @ SY1928 @ SY1930 )
=> ( ( ! [SY1931: mworld] :
( ( mrel @ SY1930 @ SY1931 )
=> ( qmltpeq @ SY1944 @ SY1927 @ SY1931 ) )
& ! [SY1906: mworld] :
( ( mrel @ SY1930 @ SY1906 )
=> ( qmltpeq @ SY1927 @ SY1929 @ SY1906 ) ) )
=> ! [SY1933: mworld] :
( ( mrel @ SY1930 @ SY1933 )
=> ( qmltpeq @ SY1944 @ SY1929 @ SY1933 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(37,plain,
( ( ! [SY2025: mworld] :
( ( mrel @ mactual @ SY2025 )
=> ! [SY2019: $i] :
( ( eiw_di @ SY2019 @ SY2025 )
=> ! [SY2020: mworld] :
( ( mrel @ SY2025 @ SY2020 )
=> ! [SY2008: $i] :
( ( eiw_di @ SY2008 @ SY2020 )
=> ! [SY2009: mworld] :
( ( mrel @ SY2020 @ SY2009 )
=> ( ! [SY2010: mworld] :
( ( mrel @ SY2009 @ SY2010 )
=> ( qmltpeq @ SY2019 @ SY2008 @ SY2010 ) )
=> ! [SY2011: mworld] :
( ( mrel @ SY2009 @ SY2011 )
=> ( qmltpeq @ SY2008 @ SY2019 @ SY2011 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(38,plain,
( ( ! [SY2051: mworld] :
( ( mrel @ mactual @ SY2051 )
=> ! [SY2049: $i] :
( ( eiw_di @ SY2049 @ SY2051 )
=> ! [SY2050: mworld] :
( ( mrel @ SY2051 @ SY2050 )
=> ( qmltpeq @ SY2049 @ SY2049 @ SY2050 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(39,plain,
( ( ! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) )
= $true ),
inference(unfold_def,[status(thm)],[17,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(40,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(41,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(unfold_def,[status(thm)],[19,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(42,plain,
( ( ( mrel @ mactual @ sK1_SY12 )
=> ! [SY2063: $i] :
( ( eiw_di @ SY2063 @ sK1_SY12 )
=> ! [SY2064: mworld] :
( ( mrel @ sK1_SY12 @ SY2064 )
=> ( qmltpeq @ ( union @ SY2063 @ SY2063 ) @ SY2063 @ SY2064 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(43,plain,
( ( mrel @ mactual @ sK1_SY12 )
= $true ),
inference(standard_cnf,[status(thm)],[42]) ).
thf(44,plain,
( ( ! [SY2063: $i] :
( ( eiw_di @ SY2063 @ sK1_SY12 )
=> ! [SY2064: mworld] :
( ( mrel @ sK1_SY12 @ SY2064 )
=> ( qmltpeq @ ( union @ SY2063 @ SY2063 ) @ SY2063 @ SY2064 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[42]) ).
thf(45,plain,
( ( ~ ! [SY2063: $i] :
( ( eiw_di @ SY2063 @ sK1_SY12 )
=> ! [SY2064: mworld] :
( ( mrel @ sK1_SY12 @ SY2064 )
=> ( qmltpeq @ ( union @ SY2063 @ SY2063 ) @ SY2063 @ SY2064 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(46,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(47,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(48,plain,
( ( ! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(49,plain,
( ( ! [SY2051: mworld] :
( ( mrel @ mactual @ SY2051 )
=> ! [SY2049: $i] :
( ( eiw_di @ SY2049 @ SY2051 )
=> ! [SY2050: mworld] :
( ( mrel @ SY2051 @ SY2050 )
=> ( qmltpeq @ SY2049 @ SY2049 @ SY2050 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(50,plain,
( ( ! [SY2025: mworld] :
( ( mrel @ mactual @ SY2025 )
=> ! [SY2019: $i] :
( ( eiw_di @ SY2019 @ SY2025 )
=> ! [SY2020: mworld] :
( ( mrel @ SY2025 @ SY2020 )
=> ! [SY2008: $i] :
( ( eiw_di @ SY2008 @ SY2020 )
=> ! [SY2009: mworld] :
( ( mrel @ SY2020 @ SY2009 )
=> ( ! [SY2010: mworld] :
( ( mrel @ SY2009 @ SY2010 )
=> ( qmltpeq @ SY2019 @ SY2008 @ SY2010 ) )
=> ! [SY2011: mworld] :
( ( mrel @ SY2009 @ SY2011 )
=> ( qmltpeq @ SY2008 @ SY2019 @ SY2011 ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(51,plain,
( ( ! [SY1953: mworld] :
( ( mrel @ mactual @ SY1953 )
=> ! [SY1944: $i] :
( ( eiw_di @ SY1944 @ SY1953 )
=> ! [SY1945: mworld] :
( ( mrel @ SY1953 @ SY1945 )
=> ! [SY1927: $i] :
( ( eiw_di @ SY1927 @ SY1945 )
=> ! [SY1928: mworld] :
( ( mrel @ SY1945 @ SY1928 )
=> ! [SY1929: $i] :
( ( eiw_di @ SY1929 @ SY1928 )
=> ! [SY1930: mworld] :
( ( mrel @ SY1928 @ SY1930 )
=> ( ( ! [SY1931: mworld] :
( ( mrel @ SY1930 @ SY1931 )
=> ( qmltpeq @ SY1944 @ SY1927 @ SY1931 ) )
& ! [SY1906: mworld] :
( ( mrel @ SY1930 @ SY1906 )
=> ( qmltpeq @ SY1927 @ SY1929 @ SY1906 ) ) )
=> ! [SY1933: mworld] :
( ( mrel @ SY1930 @ SY1933 )
=> ( qmltpeq @ SY1944 @ SY1929 @ SY1933 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(52,plain,
( ( ! [SY1835: mworld] :
( ( mrel @ mactual @ SY1835 )
=> ! [SY1827: $i] :
( ( eiw_di @ SY1827 @ SY1835 )
=> ! [SY1828: mworld] :
( ( mrel @ SY1835 @ SY1828 )
=> ! [SY1812: $i] :
( ( eiw_di @ SY1812 @ SY1828 )
=> ! [SY1813: mworld] :
( ( mrel @ SY1828 @ SY1813 )
=> ! [SY1814: $i] :
( ( eiw_di @ SY1814 @ SY1813 )
=> ! [SY1815: mworld] :
( ( mrel @ SY1813 @ SY1815 )
=> ( ! [SY1816: mworld] :
( ( mrel @ SY1815 @ SY1816 )
=> ( qmltpeq @ SY1827 @ SY1812 @ SY1816 ) )
=> ! [SY1817: mworld] :
( ( mrel @ SY1815 @ SY1817 )
=> ( qmltpeq @ ( union @ SY1827 @ SY1814 ) @ ( union @ SY1812 @ SY1814 ) @ SY1817 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(53,plain,
( ( ! [SY1737: mworld] :
( ( mrel @ mactual @ SY1737 )
=> ! [SY1729: $i] :
( ( eiw_di @ SY1729 @ SY1737 )
=> ! [SY1730: mworld] :
( ( mrel @ SY1737 @ SY1730 )
=> ! [SY1714: $i] :
( ( eiw_di @ SY1714 @ SY1730 )
=> ! [SY1715: mworld] :
( ( mrel @ SY1730 @ SY1715 )
=> ! [SY1716: $i] :
( ( eiw_di @ SY1716 @ SY1715 )
=> ! [SY1717: mworld] :
( ( mrel @ SY1715 @ SY1717 )
=> ( ! [SY1718: mworld] :
( ( mrel @ SY1717 @ SY1718 )
=> ( qmltpeq @ SY1729 @ SY1714 @ SY1718 ) )
=> ! [SY1719: mworld] :
( ( mrel @ SY1717 @ SY1719 )
=> ( qmltpeq @ ( union @ SY1716 @ SY1729 ) @ ( union @ SY1716 @ SY1714 ) @ SY1719 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(54,plain,
( ( ! [SY1637: mworld] :
( ( mrel @ mactual @ SY1637 )
=> ! [SY1628: $i] :
( ( eiw_di @ SY1628 @ SY1637 )
=> ! [SY1629: mworld] :
( ( mrel @ SY1637 @ SY1629 )
=> ! [SY1611: $i] :
( ( eiw_di @ SY1611 @ SY1629 )
=> ! [SY1612: mworld] :
( ( mrel @ SY1629 @ SY1612 )
=> ! [SY1613: $i] :
( ( eiw_di @ SY1613 @ SY1612 )
=> ! [SY1614: mworld] :
( ( mrel @ SY1612 @ SY1614 )
=> ( ( ! [SY1615: mworld] :
( ( mrel @ SY1614 @ SY1615 )
=> ( qmltpeq @ SY1628 @ SY1611 @ SY1615 ) )
& ! [SY1616: mworld] :
( ( mrel @ SY1614 @ SY1616 )
=> ( member @ SY1628 @ SY1613 @ SY1616 ) ) )
=> ! [SY1591: mworld] :
( ( mrel @ SY1614 @ SY1591 )
=> ( member @ SY1611 @ SY1613 @ SY1591 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(55,plain,
( ( ! [SY1517: mworld] :
( ( mrel @ mactual @ SY1517 )
=> ! [SY1508: $i] :
( ( eiw_di @ SY1508 @ SY1517 )
=> ! [SY1509: mworld] :
( ( mrel @ SY1517 @ SY1509 )
=> ! [SY1491: $i] :
( ( eiw_di @ SY1491 @ SY1509 )
=> ! [SY1492: mworld] :
( ( mrel @ SY1509 @ SY1492 )
=> ! [SY1493: $i] :
( ( eiw_di @ SY1493 @ SY1492 )
=> ! [SY1494: mworld] :
( ( mrel @ SY1492 @ SY1494 )
=> ( ( ! [SY1495: mworld] :
( ( mrel @ SY1494 @ SY1495 )
=> ( qmltpeq @ SY1508 @ SY1491 @ SY1495 ) )
& ! [SY1496: mworld] :
( ( mrel @ SY1494 @ SY1496 )
=> ( member @ SY1493 @ SY1508 @ SY1496 ) ) )
=> ! [SY1471: mworld] :
( ( mrel @ SY1494 @ SY1471 )
=> ( member @ SY1493 @ SY1491 @ SY1471 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(56,plain,
( ( ! [SY1397: mworld] :
( ( mrel @ mactual @ SY1397 )
=> ! [SY1388: $i] :
( ( eiw_di @ SY1388 @ SY1397 )
=> ! [SY1389: mworld] :
( ( mrel @ SY1397 @ SY1389 )
=> ! [SY1371: $i] :
( ( eiw_di @ SY1371 @ SY1389 )
=> ! [SY1372: mworld] :
( ( mrel @ SY1389 @ SY1372 )
=> ! [SY1373: $i] :
( ( eiw_di @ SY1373 @ SY1372 )
=> ! [SY1374: mworld] :
( ( mrel @ SY1372 @ SY1374 )
=> ( ( ! [SY1375: mworld] :
( ( mrel @ SY1374 @ SY1375 )
=> ( qmltpeq @ SY1388 @ SY1371 @ SY1375 ) )
& ! [SY1376: mworld] :
( ( mrel @ SY1374 @ SY1376 )
=> ( subset @ SY1388 @ SY1373 @ SY1376 ) ) )
=> ! [SY1351: mworld] :
( ( mrel @ SY1374 @ SY1351 )
=> ( subset @ SY1371 @ SY1373 @ SY1351 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(57,plain,
( ( ! [SY1277: mworld] :
( ( mrel @ mactual @ SY1277 )
=> ! [SY1268: $i] :
( ( eiw_di @ SY1268 @ SY1277 )
=> ! [SY1269: mworld] :
( ( mrel @ SY1277 @ SY1269 )
=> ! [SY1251: $i] :
( ( eiw_di @ SY1251 @ SY1269 )
=> ! [SY1252: mworld] :
( ( mrel @ SY1269 @ SY1252 )
=> ! [SY1253: $i] :
( ( eiw_di @ SY1253 @ SY1252 )
=> ! [SY1254: mworld] :
( ( mrel @ SY1252 @ SY1254 )
=> ( ( ! [SY1255: mworld] :
( ( mrel @ SY1254 @ SY1255 )
=> ( qmltpeq @ SY1268 @ SY1251 @ SY1255 ) )
& ! [SY1256: mworld] :
( ( mrel @ SY1254 @ SY1256 )
=> ( subset @ SY1253 @ SY1268 @ SY1256 ) ) )
=> ! [SY1231: mworld] :
( ( mrel @ SY1254 @ SY1231 )
=> ( subset @ SY1253 @ SY1251 @ SY1231 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(58,plain,
( ( ! [SY1163: mworld] :
( ( mrel @ mactual @ SY1163 )
=> ! [SY1157: $i] :
( ( eiw_di @ SY1157 @ SY1163 )
=> ! [SY1158: mworld] :
( ( mrel @ SY1163 @ SY1158 )
=> ! [SY1146: $i] :
( ( eiw_di @ SY1146 @ SY1158 )
=> ! [SY1147: mworld] :
( ( mrel @ SY1158 @ SY1147 )
=> ( ! [SY1148: mworld] :
( ( mrel @ SY1147 @ SY1148 )
=> ( subset @ SY1157 @ SY1146 @ SY1148 ) )
=> ! [SY1149: mworld] :
( ( mrel @ SY1147 @ SY1149 )
=> ( qmltpeq @ ( union @ SY1157 @ SY1146 ) @ SY1146 @ SY1149 ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(59,plain,
( ( ! [SY1083: mworld] :
( ( mrel @ mactual @ SY1083 )
=> ! [SY1070: $i] :
( ( eiw_di @ SY1070 @ SY1083 )
=> ! [SY1071: mworld] :
( ( mrel @ SY1083 @ SY1071 )
=> ! [SY1045: $i] :
( ( eiw_di @ SY1045 @ SY1071 )
=> ! [SY1046: mworld] :
( ( mrel @ SY1071 @ SY1046 )
=> ! [SY1047: $i] :
( ( eiw_di @ SY1047 @ SY1046 )
=> ( ! [SY1048: mworld] :
( ( mrel @ SY1046 @ SY1048 )
=> ( ! [SY1049: mworld] :
( ( mrel @ SY1048 @ SY1049 )
=> ( member @ SY1047 @ ( union @ SY1070 @ SY1045 ) @ SY1049 ) )
=> ( ! [SY1050: mworld] :
( ( mrel @ SY1048 @ SY1050 )
=> ( member @ SY1047 @ SY1070 @ SY1050 ) )
| ! [SY1013: mworld] :
( ( mrel @ SY1048 @ SY1013 )
=> ( member @ SY1047 @ SY1045 @ SY1013 ) ) ) ) )
& ! [SY1052: mworld] :
( ( mrel @ SY1046 @ SY1052 )
=> ( ( ! [SY1053: mworld] :
( ( mrel @ SY1052 @ SY1053 )
=> ( member @ SY1047 @ SY1070 @ SY1053 ) )
| ! [SY1016: mworld] :
( ( mrel @ SY1052 @ SY1016 )
=> ( member @ SY1047 @ SY1045 @ SY1016 ) ) )
=> ! [SY1055: mworld] :
( ( mrel @ SY1052 @ SY1055 )
=> ( member @ SY1047 @ ( union @ SY1070 @ SY1045 ) @ SY1055 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(60,plain,
( ( ! [SY884: mworld] :
( ( mrel @ mactual @ SY884 )
=> ! [SY873: $i] :
( ( eiw_di @ SY873 @ SY884 )
=> ! [SY874: mworld] :
( ( mrel @ SY884 @ SY874 )
=> ! [SY852: $i] :
( ( eiw_di @ SY852 @ SY874 )
=> ( ! [SY853: mworld] :
( ( mrel @ SY874 @ SY853 )
=> ( ! [SY854: mworld] :
( ( mrel @ SY853 @ SY854 )
=> ( qmltpeq @ SY873 @ SY852 @ SY854 ) )
=> ( ! [SY855: mworld] :
( ( mrel @ SY853 @ SY855 )
=> ( subset @ SY873 @ SY852 @ SY855 ) )
& ! [SY856: mworld] :
( ( mrel @ SY853 @ SY856 )
=> ( subset @ SY852 @ SY873 @ SY856 ) ) ) ) )
& ! [SY857: mworld] :
( ( mrel @ SY874 @ SY857 )
=> ( ( ! [SY858: mworld] :
( ( mrel @ SY857 @ SY858 )
=> ( subset @ SY873 @ SY852 @ SY858 ) )
& ! [SY859: mworld] :
( ( mrel @ SY857 @ SY859 )
=> ( subset @ SY852 @ SY873 @ SY859 ) ) )
=> ! [SY860: mworld] :
( ( mrel @ SY857 @ SY860 )
=> ( qmltpeq @ SY873 @ SY852 @ SY860 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(61,plain,
( ( ! [SY742: mworld] :
( ( mrel @ mactual @ SY742 )
=> ! [SY738: $i] :
( ( eiw_di @ SY738 @ SY742 )
=> ! [SY739: mworld] :
( ( mrel @ SY742 @ SY739 )
=> ! [SY731: $i] :
( ( eiw_di @ SY731 @ SY739 )
=> ! [SY732: mworld] :
( ( mrel @ SY739 @ SY732 )
=> ( qmltpeq @ ( union @ SY738 @ SY731 ) @ ( union @ SY731 @ SY738 ) @ SY732 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(62,plain,
( ( ! [SY678: mworld] :
( ( mrel @ mactual @ SY678 )
=> ! [SY661: $i] :
( ( eiw_di @ SY661 @ SY678 )
=> ! [SY662: mworld] :
( ( mrel @ SY678 @ SY662 )
=> ! [SY628: $i] :
( ( eiw_di @ SY628 @ SY662 )
=> ( ! [SY629: mworld] :
( ( mrel @ SY662 @ SY629 )
=> ( ! [SY630: mworld] :
( ( mrel @ SY629 @ SY630 )
=> ( subset @ SY661 @ SY628 @ SY630 ) )
=> ! [SY631: mworld] :
( ( mrel @ SY629 @ SY631 )
=> ! [SY632: $i] :
( ( eiw_di @ SY632 @ SY631 )
=> ! [SY633: mworld] :
( ( mrel @ SY631 @ SY633 )
=> ( ! [SY634: mworld] :
( ( mrel @ SY633 @ SY634 )
=> ( member @ SY632 @ SY661 @ SY634 ) )
=> ! [SY585: mworld] :
( ( mrel @ SY633 @ SY585 )
=> ( member @ SY632 @ SY628 @ SY585 ) ) ) ) ) ) ) )
& ! [SY636: mworld] :
( ( mrel @ SY662 @ SY636 )
=> ( ! [SY637: mworld] :
( ( mrel @ SY636 @ SY637 )
=> ! [SY638: $i] :
( ( eiw_di @ SY638 @ SY637 )
=> ! [SY639: mworld] :
( ( mrel @ SY637 @ SY639 )
=> ( ! [SY640: mworld] :
( ( mrel @ SY639 @ SY640 )
=> ( member @ SY638 @ SY661 @ SY640 ) )
=> ! [SY591: mworld] :
( ( mrel @ SY639 @ SY591 )
=> ( member @ SY638 @ SY628 @ SY591 ) ) ) ) ) )
=> ! [SY642: mworld] :
( ( mrel @ SY636 @ SY642 )
=> ( subset @ SY661 @ SY628 @ SY642 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(63,plain,
( ( ! [SY440: mworld] :
( ( mrel @ mactual @ SY440 )
=> ! [SY438: $i] :
( ( eiw_di @ SY438 @ SY440 )
=> ! [SY439: mworld] :
( ( mrel @ SY440 @ SY439 )
=> ( subset @ SY438 @ SY438 @ SY439 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(64,plain,
( ( ! [SY380: mworld] :
( ( mrel @ mactual @ SY380 )
=> ! [SY357: $i] :
( ( eiw_di @ SY357 @ SY380 )
=> ! [SY358: mworld] :
( ( mrel @ SY380 @ SY358 )
=> ! [SY312: $i] :
( ( eiw_di @ SY312 @ SY358 )
=> ( ! [SY313: mworld] :
( ( mrel @ SY358 @ SY313 )
=> ( ! [SY314: mworld] :
( ( mrel @ SY313 @ SY314 )
=> ( qmltpeq @ SY357 @ SY312 @ SY314 ) )
=> ! [SY315: mworld] :
( ( mrel @ SY313 @ SY315 )
=> ! [SY316: $i] :
( ( eiw_di @ SY316 @ SY315 )
=> ( ! [SY317: mworld] :
( ( mrel @ SY315 @ SY317 )
=> ( ! [SY318: mworld] :
( ( mrel @ SY317 @ SY318 )
=> ( member @ SY316 @ SY357 @ SY318 ) )
=> ! [SY251: mworld] :
( ( mrel @ SY317 @ SY251 )
=> ( member @ SY316 @ SY312 @ SY251 ) ) ) )
& ! [SY320: mworld] :
( ( mrel @ SY315 @ SY320 )
=> ( ! [SY253: mworld] :
( ( mrel @ SY320 @ SY253 )
=> ( member @ SY316 @ SY312 @ SY253 ) )
=> ! [SY322: mworld] :
( ( mrel @ SY320 @ SY322 )
=> ( member @ SY316 @ SY357 @ SY322 ) ) ) ) ) ) ) ) )
& ! [SY323: mworld] :
( ( mrel @ SY358 @ SY323 )
=> ( ! [SY324: mworld] :
( ( mrel @ SY323 @ SY324 )
=> ! [SY325: $i] :
( ( eiw_di @ SY325 @ SY324 )
=> ( ! [SY326: mworld] :
( ( mrel @ SY324 @ SY326 )
=> ( ! [SY327: mworld] :
( ( mrel @ SY326 @ SY327 )
=> ( member @ SY325 @ SY357 @ SY327 ) )
=> ! [SY260: mworld] :
( ( mrel @ SY326 @ SY260 )
=> ( member @ SY325 @ SY312 @ SY260 ) ) ) )
& ! [SY329: mworld] :
( ( mrel @ SY324 @ SY329 )
=> ( ! [SY262: mworld] :
( ( mrel @ SY329 @ SY262 )
=> ( member @ SY325 @ SY312 @ SY262 ) )
=> ! [SY331: mworld] :
( ( mrel @ SY329 @ SY331 )
=> ( member @ SY325 @ SY357 @ SY331 ) ) ) ) ) ) )
=> ! [SY332: mworld] :
( ( mrel @ SY323 @ SY332 )
=> ( qmltpeq @ SY357 @ SY312 @ SY332 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(65,plain,
( ( mrel @ mactual @ sK1_SY12 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(66,plain,
( ( ~ ! [SY2063: $i] :
( ( eiw_di @ SY2063 @ sK1_SY12 )
=> ! [SY2064: mworld] :
( ( mrel @ sK1_SY12 @ SY2064 )
=> ( qmltpeq @ ( union @ SY2063 @ SY2063 ) @ SY2063 @ SY2064 ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(67,plain,
( ( ~ ! [SX0: $i] :
( ~ ( eiw_di @ SX0 @ sK1_SY12 )
| ! [SX1: mworld] :
( ~ ( mrel @ sK1_SY12 @ SX1 )
| ( qmltpeq @ ( union @ SX0 @ SX0 ) @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(68,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(69,plain,
( ( ! [SX0: mworld,SX1: mworld,SX2: mworld] :
( ~ ~ ( ~ ( mrel @ SX0 @ SX1 )
| ~ ( mrel @ SX1 @ SX2 ) )
| ( mrel @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(70,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SX1 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(71,plain,
( ( ! [SX0: mworld] :
~ ! [SX1: $i] :
~ ( eiw_di @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[48,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(72,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( union @ SX1 @ SX3 ) @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(73,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( qmltpeq @ ( union @ SX1 @ SX3 ) @ ( union @ SX3 @ SX1 ) @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(74,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SX1 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SX1 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(75,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SX1 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SX1 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(76,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(77,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(78,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( subset @ SX1 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(79,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX1 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(80,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(81,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX1 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(82,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX1 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX1 @ SX3 @ SX5 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(83,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX1 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX1 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(84,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ( qmltpeq @ SX1 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(85,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX1 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SX1 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(86,plain,
! [SV1: mworld] :
( ( mrel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(87,plain,
( ( ! [SX0: $i] :
( ~ ( eiw_di @ SX0 @ sK1_SY12 )
| ! [SX1: mworld] :
( ~ ( mrel @ sK1_SY12 @ SX1 )
| ( qmltpeq @ ( union @ SX0 @ SX0 ) @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(88,plain,
! [SV2: mworld] :
( ( ~ ( mrel @ mactual @ SV2 )
| ! [SY2065: $i] :
( ~ ( eiw_di @ SY2065 @ SV2 )
| ! [SY2066: mworld] :
( ~ ( mrel @ SV2 @ SY2066 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2066 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2066 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2065 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2066 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2065 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(89,plain,
! [SV3: mworld] :
( ( ! [SY2088: mworld,SY2089: mworld] :
( ~ ~ ( ~ ( mrel @ SV3 @ SY2088 )
| ~ ( mrel @ SY2088 @ SY2089 ) )
| ( mrel @ SV3 @ SY2089 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(90,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ! [SY2090: $i] :
( ~ ( eiw_di @ SY2090 @ SV4 )
| ! [SY2091: mworld] :
( ~ ( mrel @ SV4 @ SY2091 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2091 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2091 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2090 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY2090 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(91,plain,
! [SV5: mworld] :
( ( ~ ! [SY2098: $i] :
~ ( eiw_di @ SY2098 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(92,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ mactual @ SV6 )
| ! [SY2099: $i] :
( ~ ( eiw_di @ SY2099 @ SV6 )
| ! [SY2100: mworld] :
( ~ ( mrel @ SV6 @ SY2100 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2100 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2100 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2099 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( union @ SY2099 @ SX3 ) @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(93,plain,
! [SV7: mworld] :
( ( ~ ( mrel @ mactual @ SV7 )
| ! [SY2105: $i] :
( ~ ( eiw_di @ SY2105 @ SV7 )
| ! [SY2106: mworld] :
( ~ ( mrel @ SV7 @ SY2106 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2106 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2106 @ SX4 )
| ( qmltpeq @ ( union @ SY2105 @ SX3 ) @ ( union @ SX3 @ SY2105 ) @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(94,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ! [SY2109: $i] :
( ~ ( eiw_di @ SY2109 @ SV8 )
| ! [SY2110: mworld] :
( ~ ( mrel @ SV8 @ SY2110 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2110 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2110 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY2109 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2109 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2109 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY2109 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(95,plain,
! [SV9: mworld] :
( ( ~ ( mrel @ mactual @ SV9 )
| ! [SY2122: $i] :
( ~ ( eiw_di @ SY2122 @ SV9 )
| ! [SY2123: mworld] :
( ~ ( mrel @ SV9 @ SY2123 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2123 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2123 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2122 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2122 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY2122 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2123 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2122 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY2122 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2122 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(96,plain,
! [SV10: mworld] :
( ( ~ ( mrel @ mactual @ SV10 )
| ! [SY2133: $i] :
( ~ ( eiw_di @ SY2133 @ SV10 )
| ! [SY2134: mworld] :
( ~ ( mrel @ SV10 @ SY2134 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2134 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2134 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2133 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2133 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(97,plain,
! [SV11: mworld] :
( ( ~ ( mrel @ mactual @ SV11 )
| ! [SY2142: $i] :
( ~ ( eiw_di @ SY2142 @ SV11 )
| ! [SY2143: mworld] :
( ~ ( mrel @ SV11 @ SY2143 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2143 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2143 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2142 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2142 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(98,plain,
! [SV12: mworld] :
( ( ~ ( mrel @ mactual @ SV12 )
| ! [SY2151: $i] :
( ~ ( eiw_di @ SY2151 @ SV12 )
| ! [SY2152: mworld] :
( ~ ( mrel @ SV12 @ SY2152 )
| ( subset @ SY2151 @ SY2151 @ SY2152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(99,plain,
! [SV13: mworld] :
( ( ~ ( mrel @ mactual @ SV13 )
| ! [SY2153: $i] :
( ~ ( eiw_di @ SY2153 @ SV13 )
| ! [SY2154: mworld] :
( ~ ( mrel @ SV13 @ SY2154 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2154 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2154 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2153 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SY2153 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(100,plain,
! [SV14: mworld] :
( ( ~ ( mrel @ mactual @ SV14 )
| ! [SY2162: $i] :
( ~ ( eiw_di @ SY2162 @ SV14 )
| ! [SY2163: mworld] :
( ~ ( mrel @ SV14 @ SY2163 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2163 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2163 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2162 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY2162 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(101,plain,
! [SV15: mworld] :
( ( ~ ( mrel @ mactual @ SV15 )
| ! [SY2171: $i] :
( ~ ( eiw_di @ SY2171 @ SV15 )
| ! [SY2172: mworld] :
( ~ ( mrel @ SV15 @ SY2172 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2172 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2172 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2171 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SY2171 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(102,plain,
! [SV16: mworld] :
( ( ~ ( mrel @ mactual @ SV16 )
| ! [SY2180: $i] :
( ~ ( eiw_di @ SY2180 @ SV16 )
| ! [SY2181: mworld] :
( ~ ( mrel @ SV16 @ SY2181 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2181 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2181 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2180 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2180 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2181 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2180 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2180 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(103,plain,
! [SV17: mworld] :
( ( ~ ( mrel @ mactual @ SV17 )
| ! [SY2197: $i] :
( ~ ( eiw_di @ SY2197 @ SV17 )
| ! [SY2198: mworld] :
( ~ ( mrel @ SV17 @ SY2198 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2198 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2198 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2197 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY2197 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(104,plain,
! [SV18: mworld] :
( ( ~ ( mrel @ mactual @ SV18 )
| ! [SY2205: $i] :
( ~ ( eiw_di @ SY2205 @ SV18 )
| ! [SY2206: mworld] :
( ~ ( mrel @ SV18 @ SY2206 )
| ( qmltpeq @ SY2205 @ SY2205 @ SY2206 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(105,plain,
! [SV19: mworld] :
( ( ~ ( mrel @ mactual @ SV19 )
| ! [SY2207: $i] :
( ~ ( eiw_di @ SY2207 @ SV19 )
| ! [SY2208: mworld] :
( ~ ( mrel @ SV19 @ SY2208 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2208 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2208 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2207 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY2207 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(106,plain,
( ( ~ ( eiw_di @ sK2_SX0 @ sK1_SY12 )
| ! [SY2213: mworld] :
( ~ ( mrel @ sK1_SY12 @ SY2213 )
| ( qmltpeq @ ( union @ sK2_SX0 @ sK2_SX0 ) @ sK2_SX0 @ SY2213 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[87]) ).
thf(107,plain,
! [SV2: mworld] :
( ( ( ~ ( mrel @ mactual @ SV2 ) )
= $true )
| ( ( ! [SY2065: $i] :
( ~ ( eiw_di @ SY2065 @ SV2 )
| ! [SY2066: mworld] :
( ~ ( mrel @ SV2 @ SY2066 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2066 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2066 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2065 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2066 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2065 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(108,plain,
! [SV20: mworld,SV3: mworld] :
( ( ! [SY2214: mworld] :
( ~ ~ ( ~ ( mrel @ SV3 @ SV20 )
| ~ ( mrel @ SV20 @ SY2214 ) )
| ( mrel @ SV3 @ SY2214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ! [SY2090: $i] :
( ~ ( eiw_di @ SY2090 @ SV4 )
| ! [SY2091: mworld] :
( ~ ( mrel @ SV4 @ SY2091 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2091 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2091 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2090 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY2090 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(110,plain,
! [SV5: mworld] :
( ( ! [SY2098: $i] :
~ ( eiw_di @ SY2098 @ SV5 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(111,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 ) )
= $true )
| ( ( ! [SY2099: $i] :
( ~ ( eiw_di @ SY2099 @ SV6 )
| ! [SY2100: mworld] :
( ~ ( mrel @ SV6 @ SY2100 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2100 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2100 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2099 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( union @ SY2099 @ SX3 ) @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 ) )
= $true )
| ( ( ! [SY2105: $i] :
( ~ ( eiw_di @ SY2105 @ SV7 )
| ! [SY2106: mworld] :
( ~ ( mrel @ SV7 @ SY2106 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2106 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2106 @ SX4 )
| ( qmltpeq @ ( union @ SY2105 @ SX3 ) @ ( union @ SX3 @ SY2105 ) @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ! [SY2109: $i] :
( ~ ( eiw_di @ SY2109 @ SV8 )
| ! [SY2110: mworld] :
( ~ ( mrel @ SV8 @ SY2110 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2110 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2110 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY2109 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2109 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2109 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY2109 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ mactual @ SV9 ) )
= $true )
| ( ( ! [SY2122: $i] :
( ~ ( eiw_di @ SY2122 @ SV9 )
| ! [SY2123: mworld] :
( ~ ( mrel @ SV9 @ SY2123 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2123 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2123 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2122 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2122 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY2122 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2123 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2122 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY2122 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2122 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(115,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 ) )
= $true )
| ( ( ! [SY2133: $i] :
( ~ ( eiw_di @ SY2133 @ SV10 )
| ! [SY2134: mworld] :
( ~ ( mrel @ SV10 @ SY2134 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2134 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2134 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2133 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2133 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(116,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ SV11 ) )
= $true )
| ( ( ! [SY2142: $i] :
( ~ ( eiw_di @ SY2142 @ SV11 )
| ! [SY2143: mworld] :
( ~ ( mrel @ SV11 @ SY2143 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2143 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2143 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2142 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2142 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(117,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ SV12 ) )
= $true )
| ( ( ! [SY2151: $i] :
( ~ ( eiw_di @ SY2151 @ SV12 )
| ! [SY2152: mworld] :
( ~ ( mrel @ SV12 @ SY2152 )
| ( subset @ SY2151 @ SY2151 @ SY2152 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(118,plain,
! [SV13: mworld] :
( ( ( ~ ( mrel @ mactual @ SV13 ) )
= $true )
| ( ( ! [SY2153: $i] :
( ~ ( eiw_di @ SY2153 @ SV13 )
| ! [SY2154: mworld] :
( ~ ( mrel @ SV13 @ SY2154 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2154 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2154 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2153 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SY2153 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(119,plain,
! [SV14: mworld] :
( ( ( ~ ( mrel @ mactual @ SV14 ) )
= $true )
| ( ( ! [SY2162: $i] :
( ~ ( eiw_di @ SY2162 @ SV14 )
| ! [SY2163: mworld] :
( ~ ( mrel @ SV14 @ SY2163 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2163 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2163 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2162 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY2162 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(120,plain,
! [SV15: mworld] :
( ( ( ~ ( mrel @ mactual @ SV15 ) )
= $true )
| ( ( ! [SY2171: $i] :
( ~ ( eiw_di @ SY2171 @ SV15 )
| ! [SY2172: mworld] :
( ~ ( mrel @ SV15 @ SY2172 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2172 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2172 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2171 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SY2171 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(121,plain,
! [SV16: mworld] :
( ( ( ~ ( mrel @ mactual @ SV16 ) )
= $true )
| ( ( ! [SY2180: $i] :
( ~ ( eiw_di @ SY2180 @ SV16 )
| ! [SY2181: mworld] :
( ~ ( mrel @ SV16 @ SY2181 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2181 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2181 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2180 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2180 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2181 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2180 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2180 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(122,plain,
! [SV17: mworld] :
( ( ( ~ ( mrel @ mactual @ SV17 ) )
= $true )
| ( ( ! [SY2197: $i] :
( ~ ( eiw_di @ SY2197 @ SV17 )
| ! [SY2198: mworld] :
( ~ ( mrel @ SV17 @ SY2198 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2198 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2198 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2197 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY2197 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(123,plain,
! [SV18: mworld] :
( ( ( ~ ( mrel @ mactual @ SV18 ) )
= $true )
| ( ( ! [SY2205: $i] :
( ~ ( eiw_di @ SY2205 @ SV18 )
| ! [SY2206: mworld] :
( ~ ( mrel @ SV18 @ SY2206 )
| ( qmltpeq @ SY2205 @ SY2205 @ SY2206 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(124,plain,
! [SV19: mworld] :
( ( ( ~ ( mrel @ mactual @ SV19 ) )
= $true )
| ( ( ! [SY2207: $i] :
( ~ ( eiw_di @ SY2207 @ SV19 )
| ! [SY2208: mworld] :
( ~ ( mrel @ SV19 @ SY2208 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2208 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2208 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2207 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY2207 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(125,plain,
( ( ~ ( eiw_di @ sK2_SX0 @ sK1_SY12 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(126,plain,
( ( ! [SY2213: mworld] :
( ~ ( mrel @ sK1_SY12 @ SY2213 )
| ( qmltpeq @ ( union @ sK2_SX0 @ sK2_SX0 ) @ sK2_SX0 @ SY2213 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(127,plain,
! [SV2: mworld] :
( ( ( mrel @ mactual @ SV2 )
= $false )
| ( ( ! [SY2065: $i] :
( ~ ( eiw_di @ SY2065 @ SV2 )
| ! [SY2066: mworld] :
( ~ ( mrel @ SV2 @ SY2066 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2066 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2066 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2065 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2066 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2065 @ SX8 ) ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2065 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(128,plain,
! [SV21: mworld,SV20: mworld,SV3: mworld] :
( ( ~ ~ ( ~ ( mrel @ SV3 @ SV20 )
| ~ ( mrel @ SV20 @ SV21 ) )
| ( mrel @ SV3 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(129,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ! [SY2090: $i] :
( ~ ( eiw_di @ SY2090 @ SV4 )
| ! [SY2091: mworld] :
( ~ ( mrel @ SV4 @ SY2091 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2091 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2091 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2090 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SX5 @ SY2090 ) @ ( union @ SX5 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(130,plain,
! [SV5: mworld] :
( ( ~ ( eiw_di @ ( sK3_SY2098 @ SV5 ) @ SV5 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[110]) ).
thf(131,plain,
! [SV6: mworld] :
( ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ! [SY2099: $i] :
( ~ ( eiw_di @ SY2099 @ SV6 )
| ! [SY2100: mworld] :
( ~ ( mrel @ SV6 @ SY2100 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2100 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2100 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2099 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ ( union @ SY2099 @ SX3 ) @ SX3 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(132,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SY2105: $i] :
( ~ ( eiw_di @ SY2105 @ SV7 )
| ! [SY2106: mworld] :
( ~ ( mrel @ SV7 @ SY2106 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2106 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2106 @ SX4 )
| ( qmltpeq @ ( union @ SY2105 @ SX3 ) @ ( union @ SX3 @ SY2105 ) @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(133,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ! [SY2109: $i] :
( ~ ( eiw_di @ SY2109 @ SV8 )
| ! [SY2110: mworld] :
( ~ ( mrel @ SV8 @ SY2110 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2110 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2110 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY2109 @ SX3 ) @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2109 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ( ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2109 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ ( union @ SY2109 @ SX3 ) @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(134,plain,
! [SV9: mworld] :
( ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( ! [SY2122: $i] :
( ~ ( eiw_di @ SY2122 @ SV9 )
| ! [SY2123: mworld] :
( ~ ( mrel @ SV9 @ SY2123 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2123 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2123 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2122 @ SX3 @ SX5 ) )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2122 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY2122 @ SX5 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2123 @ SX4 )
| ~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2122 @ SX3 @ SX5 ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SX3 @ SY2122 @ SX5 ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2122 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(135,plain,
! [SV10: mworld] :
( ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( ! [SY2133: $i] :
( ~ ( eiw_di @ SY2133 @ SV10 )
| ! [SY2134: mworld] :
( ~ ( mrel @ SV10 @ SY2134 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2134 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2134 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2133 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SY2133 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(136,plain,
! [SV11: mworld] :
( ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( ! [SY2142: $i] :
( ~ ( eiw_di @ SY2142 @ SV11 )
| ! [SY2143: mworld] :
( ~ ( mrel @ SV11 @ SY2143 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2143 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2143 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2142 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SX3 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2142 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(137,plain,
! [SV12: mworld] :
( ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( ! [SY2151: $i] :
( ~ ( eiw_di @ SY2151 @ SV12 )
| ! [SY2152: mworld] :
( ~ ( mrel @ SV12 @ SY2152 )
| ( subset @ SY2151 @ SY2151 @ SY2152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(138,plain,
! [SV13: mworld] :
( ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( ! [SY2153: $i] :
( ~ ( eiw_di @ SY2153 @ SV13 )
| ! [SY2154: mworld] :
( ~ ( mrel @ SV13 @ SY2154 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2154 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2154 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2153 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SY2153 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(139,plain,
! [SV14: mworld] :
( ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( ! [SY2162: $i] :
( ~ ( eiw_di @ SY2162 @ SV14 )
| ! [SY2163: mworld] :
( ~ ( mrel @ SV14 @ SY2163 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2163 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2163 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2162 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SY2162 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( member @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(140,plain,
! [SV15: mworld] :
( ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( ! [SY2171: $i] :
( ~ ( eiw_di @ SY2171 @ SV15 )
| ! [SY2172: mworld] :
( ~ ( mrel @ SV15 @ SY2172 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2172 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2172 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2171 @ SX3 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SY2171 @ SX5 @ SX7 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( subset @ SX3 @ SX5 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(141,plain,
! [SV16: mworld] :
( ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( ! [SY2180: $i] :
( ~ ( eiw_di @ SY2180 @ SV16 )
| ! [SY2181: mworld] :
( ~ ( mrel @ SV16 @ SY2181 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2181 )
| ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2181 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2180 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2180 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY2181 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( eiw_di @ SX6 @ SX5 )
| ! [SX7: mworld] :
( ~ ( mrel @ SX5 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SY2180 @ SX8 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( member @ SX6 @ SX3 @ SX8 ) ) ) ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( subset @ SY2180 @ SX3 @ SX5 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(142,plain,
! [SV17: mworld] :
( ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( ! [SY2197: $i] :
( ~ ( eiw_di @ SY2197 @ SV17 )
| ! [SY2198: mworld] :
( ~ ( mrel @ SV17 @ SY2198 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2198 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2198 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ SY2197 @ SX3 @ SX7 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( qmltpeq @ ( union @ SY2197 @ SX5 ) @ ( union @ SX3 @ SX5 ) @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(143,plain,
! [SV18: mworld] :
( ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( ! [SY2205: $i] :
( ~ ( eiw_di @ SY2205 @ SV18 )
| ! [SY2206: mworld] :
( ~ ( mrel @ SV18 @ SY2206 )
| ( qmltpeq @ SY2205 @ SY2205 @ SY2206 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(144,plain,
! [SV19: mworld] :
( ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( ! [SY2207: $i] :
( ~ ( eiw_di @ SY2207 @ SV19 )
| ! [SY2208: mworld] :
( ~ ( mrel @ SV19 @ SY2208 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY2208 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY2208 @ SX4 )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SY2207 @ SX3 @ SX5 ) )
| ! [SX5: mworld] :
( ~ ( mrel @ SX4 @ SX5 )
| ( qmltpeq @ SX3 @ SY2207 @ SX5 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(145,plain,
( ( eiw_di @ sK2_SX0 @ sK1_SY12 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(146,plain,
( ( ~ ( mrel @ sK1_SY12 @ sK4_SY2213 )
| ( qmltpeq @ ( union @ sK2_SX0 @ sK2_SX0 ) @ sK2_SX0 @ sK4_SY2213 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(147,plain,
! [SV2: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV2 )
| ! [SY2215: mworld] :
( ~ ( mrel @ SV2 @ SY2215 )
| ! [SY2216: $i] :
( ~ ( eiw_di @ SY2216 @ SY2215 )
| ~ ( ~ ! [SY2217: mworld] :
( ~ ( mrel @ SY2215 @ SY2217 )
| ~ ! [SY2218: mworld] :
( ~ ( mrel @ SY2217 @ SY2218 )
| ( qmltpeq @ SV22 @ SY2216 @ SY2218 ) )
| ! [SY2219: mworld] :
( ~ ( mrel @ SY2217 @ SY2219 )
| ! [SY2220: $i] :
( ~ ( eiw_di @ SY2220 @ SY2219 )
| ~ ( ~ ! [SY2221: mworld] :
( ~ ( mrel @ SY2219 @ SY2221 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2221 @ SY2222 )
| ( member @ SY2220 @ SV22 @ SY2222 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2221 @ SX8 )
| ( member @ SY2220 @ SY2216 @ SX8 ) ) )
| ~ ! [SY2224: mworld] :
( ~ ( mrel @ SY2219 @ SY2224 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2224 @ SX8 )
| ( member @ SY2220 @ SY2216 @ SX8 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2224 @ SY2226 )
| ( member @ SY2220 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2227: mworld] :
( ~ ( mrel @ SY2215 @ SY2227 )
| ~ ! [SY2228: mworld] :
( ~ ( mrel @ SY2227 @ SY2228 )
| ! [SY2229: $i] :
( ~ ( eiw_di @ SY2229 @ SY2228 )
| ~ ( ~ ! [SY2230: mworld] :
( ~ ( mrel @ SY2228 @ SY2230 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2230 @ SY2231 )
| ( member @ SY2229 @ SV22 @ SY2231 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2230 @ SX8 )
| ( member @ SY2229 @ SY2216 @ SX8 ) ) )
| ~ ! [SY2233: mworld] :
( ~ ( mrel @ SY2228 @ SY2233 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2233 @ SX8 )
| ( member @ SY2229 @ SY2216 @ SX8 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2233 @ SY2235 )
| ( member @ SY2229 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2236: mworld] :
( ~ ( mrel @ SY2227 @ SY2236 )
| ( qmltpeq @ SV22 @ SY2216 @ SY2236 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(148,plain,
! [SV21: mworld,SV20: mworld,SV3: mworld] :
( ( ( ~ ~ ( ~ ( mrel @ SV3 @ SV20 )
| ~ ( mrel @ SV20 @ SV21 ) ) )
= $true )
| ( ( mrel @ SV3 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(149,plain,
! [SV4: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV4 )
| ! [SY2237: mworld] :
( ~ ( mrel @ SV4 @ SY2237 )
| ! [SY2238: $i] :
( ~ ( eiw_di @ SY2238 @ SY2237 )
| ! [SY2239: mworld] :
( ~ ( mrel @ SY2237 @ SY2239 )
| ! [SY2240: $i] :
( ~ ( eiw_di @ SY2240 @ SY2239 )
| ! [SY2241: mworld] :
( ~ ( mrel @ SY2239 @ SY2241 )
| ~ ! [SY2242: mworld] :
( ~ ( mrel @ SY2241 @ SY2242 )
| ( qmltpeq @ SV23 @ SY2238 @ SY2242 ) )
| ! [SY2243: mworld] :
( ~ ( mrel @ SY2241 @ SY2243 )
| ( qmltpeq @ ( union @ SY2240 @ SV23 ) @ ( union @ SY2240 @ SY2238 ) @ SY2243 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(150,plain,
! [SV5: mworld] :
( ( eiw_di @ ( sK3_SY2098 @ SV5 ) @ SV5 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(151,plain,
! [SV6: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV6 )
| ! [SY2244: mworld] :
( ~ ( mrel @ SV6 @ SY2244 )
| ! [SY2245: $i] :
( ~ ( eiw_di @ SY2245 @ SY2244 )
| ! [SY2246: mworld] :
( ~ ( mrel @ SY2244 @ SY2246 )
| ~ ! [SY2247: mworld] :
( ~ ( mrel @ SY2246 @ SY2247 )
| ( subset @ SV24 @ SY2245 @ SY2247 ) )
| ! [SY2248: mworld] :
( ~ ( mrel @ SY2246 @ SY2248 )
| ( qmltpeq @ ( union @ SV24 @ SY2245 ) @ SY2245 @ SY2248 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(152,plain,
! [SV7: mworld,SV25: $i] :
( ( ( ~ ( eiw_di @ SV25 @ SV7 )
| ! [SY2249: mworld] :
( ~ ( mrel @ SV7 @ SY2249 )
| ! [SY2250: $i] :
( ~ ( eiw_di @ SY2250 @ SY2249 )
| ! [SY2251: mworld] :
( ~ ( mrel @ SY2249 @ SY2251 )
| ( qmltpeq @ ( union @ SV25 @ SY2250 ) @ ( union @ SY2250 @ SV25 ) @ SY2251 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(153,plain,
! [SV8: mworld,SV26: $i] :
( ( ( ~ ( eiw_di @ SV26 @ SV8 )
| ! [SY2252: mworld] :
( ~ ( mrel @ SV8 @ SY2252 )
| ! [SY2253: $i] :
( ~ ( eiw_di @ SY2253 @ SY2252 )
| ! [SY2254: mworld] :
( ~ ( mrel @ SY2252 @ SY2254 )
| ! [SY2255: $i] :
( ~ ( eiw_di @ SY2255 @ SY2254 )
| ~ ( ~ ! [SY2256: mworld] :
( ~ ( mrel @ SY2254 @ SY2256 )
| ~ ! [SY2257: mworld] :
( ~ ( mrel @ SY2256 @ SY2257 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2253 ) @ SY2257 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2256 @ SY2258 )
| ( member @ SY2255 @ SV26 @ SY2258 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2256 @ SX7 )
| ( member @ SY2255 @ SY2253 @ SX7 ) ) )
| ~ ! [SY2260: mworld] :
( ~ ( mrel @ SY2254 @ SY2260 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2260 @ SY2261 )
| ( member @ SY2255 @ SV26 @ SY2261 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2260 @ SX7 )
| ( member @ SY2255 @ SY2253 @ SX7 ) ) )
| ! [SY2263: mworld] :
( ~ ( mrel @ SY2260 @ SY2263 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2253 ) @ SY2263 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(154,plain,
! [SV9: mworld,SV27: $i] :
( ( ( ~ ( eiw_di @ SV27 @ SV9 )
| ! [SY2264: mworld] :
( ~ ( mrel @ SV9 @ SY2264 )
| ! [SY2265: $i] :
( ~ ( eiw_di @ SY2265 @ SY2264 )
| ~ ( ~ ! [SY2266: mworld] :
( ~ ( mrel @ SY2264 @ SY2266 )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SY2266 @ SY2267 )
| ( qmltpeq @ SV27 @ SY2265 @ SY2267 ) )
| ~ ( ~ ! [SY2268: mworld] :
( ~ ( mrel @ SY2266 @ SY2268 )
| ( subset @ SV27 @ SY2265 @ SY2268 ) )
| ~ ! [SY2269: mworld] :
( ~ ( mrel @ SY2266 @ SY2269 )
| ( subset @ SY2265 @ SV27 @ SY2269 ) ) ) )
| ~ ! [SY2270: mworld] :
( ~ ( mrel @ SY2264 @ SY2270 )
| ~ ~ ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SY2270 @ SY2271 )
| ( subset @ SV27 @ SY2265 @ SY2271 ) )
| ~ ! [SY2272: mworld] :
( ~ ( mrel @ SY2270 @ SY2272 )
| ( subset @ SY2265 @ SV27 @ SY2272 ) ) )
| ! [SY2273: mworld] :
( ~ ( mrel @ SY2270 @ SY2273 )
| ( qmltpeq @ SV27 @ SY2265 @ SY2273 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(155,plain,
! [SV10: mworld,SV28: $i] :
( ( ( ~ ( eiw_di @ SV28 @ SV10 )
| ! [SY2274: mworld] :
( ~ ( mrel @ SV10 @ SY2274 )
| ! [SY2275: $i] :
( ~ ( eiw_di @ SY2275 @ SY2274 )
| ! [SY2276: mworld] :
( ~ ( mrel @ SY2274 @ SY2276 )
| ! [SY2277: $i] :
( ~ ( eiw_di @ SY2277 @ SY2276 )
| ! [SY2278: mworld] :
( ~ ( mrel @ SY2276 @ SY2278 )
| ~ ~ ( ~ ! [SY2279: mworld] :
( ~ ( mrel @ SY2278 @ SY2279 )
| ( qmltpeq @ SV28 @ SY2275 @ SY2279 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2278 @ SY2280 )
| ( member @ SY2277 @ SV28 @ SY2280 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2278 @ SX7 )
| ( member @ SY2277 @ SY2275 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(156,plain,
! [SV11: mworld,SV29: $i] :
( ( ( ~ ( eiw_di @ SV29 @ SV11 )
| ! [SY2282: mworld] :
( ~ ( mrel @ SV11 @ SY2282 )
| ! [SY2283: $i] :
( ~ ( eiw_di @ SY2283 @ SY2282 )
| ! [SY2284: mworld] :
( ~ ( mrel @ SY2282 @ SY2284 )
| ! [SY2285: $i] :
( ~ ( eiw_di @ SY2285 @ SY2284 )
| ! [SY2286: mworld] :
( ~ ( mrel @ SY2284 @ SY2286 )
| ~ ~ ( ~ ! [SY2287: mworld] :
( ~ ( mrel @ SY2286 @ SY2287 )
| ( qmltpeq @ SV29 @ SY2283 @ SY2287 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY2286 @ SX7 )
| ( qmltpeq @ SY2283 @ SY2285 @ SX7 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2286 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2285 @ SY2289 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(157,plain,
! [SV12: mworld,SV30: $i] :
( ( ( ~ ( eiw_di @ SV30 @ SV12 )
| ! [SY2290: mworld] :
( ~ ( mrel @ SV12 @ SY2290 )
| ( subset @ SV30 @ SV30 @ SY2290 ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(158,plain,
! [SV13: mworld,SV31: $i] :
( ( ( ~ ( eiw_di @ SV31 @ SV13 )
| ! [SY2291: mworld] :
( ~ ( mrel @ SV13 @ SY2291 )
| ! [SY2292: $i] :
( ~ ( eiw_di @ SY2292 @ SY2291 )
| ! [SY2293: mworld] :
( ~ ( mrel @ SY2291 @ SY2293 )
| ! [SY2294: $i] :
( ~ ( eiw_di @ SY2294 @ SY2293 )
| ! [SY2295: mworld] :
( ~ ( mrel @ SY2293 @ SY2295 )
| ~ ~ ( ~ ! [SY2296: mworld] :
( ~ ( mrel @ SY2295 @ SY2296 )
| ( qmltpeq @ SV31 @ SY2292 @ SY2296 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2295 @ SY2297 )
| ( subset @ SY2294 @ SV31 @ SY2297 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2295 @ SX7 )
| ( subset @ SY2294 @ SY2292 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(159,plain,
! [SV14: mworld,SV32: $i] :
( ( ( ~ ( eiw_di @ SV32 @ SV14 )
| ! [SY2299: mworld] :
( ~ ( mrel @ SV14 @ SY2299 )
| ! [SY2300: $i] :
( ~ ( eiw_di @ SY2300 @ SY2299 )
| ! [SY2301: mworld] :
( ~ ( mrel @ SY2299 @ SY2301 )
| ! [SY2302: $i] :
( ~ ( eiw_di @ SY2302 @ SY2301 )
| ! [SY2303: mworld] :
( ~ ( mrel @ SY2301 @ SY2303 )
| ~ ~ ( ~ ! [SY2304: mworld] :
( ~ ( mrel @ SY2303 @ SY2304 )
| ( qmltpeq @ SV32 @ SY2300 @ SY2304 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2303 @ SY2305 )
| ( member @ SV32 @ SY2302 @ SY2305 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2303 @ SX7 )
| ( member @ SY2300 @ SY2302 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(160,plain,
! [SV15: mworld,SV33: $i] :
( ( ( ~ ( eiw_di @ SV33 @ SV15 )
| ! [SY2307: mworld] :
( ~ ( mrel @ SV15 @ SY2307 )
| ! [SY2308: $i] :
( ~ ( eiw_di @ SY2308 @ SY2307 )
| ! [SY2309: mworld] :
( ~ ( mrel @ SY2307 @ SY2309 )
| ! [SY2310: $i] :
( ~ ( eiw_di @ SY2310 @ SY2309 )
| ! [SY2311: mworld] :
( ~ ( mrel @ SY2309 @ SY2311 )
| ~ ~ ( ~ ! [SY2312: mworld] :
( ~ ( mrel @ SY2311 @ SY2312 )
| ( qmltpeq @ SV33 @ SY2308 @ SY2312 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2311 @ SY2313 )
| ( subset @ SV33 @ SY2310 @ SY2313 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2311 @ SX7 )
| ( subset @ SY2308 @ SY2310 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(161,plain,
! [SV16: mworld,SV34: $i] :
( ( ( ~ ( eiw_di @ SV34 @ SV16 )
| ! [SY2315: mworld] :
( ~ ( mrel @ SV16 @ SY2315 )
| ! [SY2316: $i] :
( ~ ( eiw_di @ SY2316 @ SY2315 )
| ~ ( ~ ! [SY2317: mworld] :
( ~ ( mrel @ SY2315 @ SY2317 )
| ~ ! [SY2318: mworld] :
( ~ ( mrel @ SY2317 @ SY2318 )
| ( subset @ SV34 @ SY2316 @ SY2318 ) )
| ! [SY2319: mworld] :
( ~ ( mrel @ SY2317 @ SY2319 )
| ! [SY2320: $i] :
( ~ ( eiw_di @ SY2320 @ SY2319 )
| ! [SY2321: mworld] :
( ~ ( mrel @ SY2319 @ SY2321 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2321 @ SY2322 )
| ( member @ SY2320 @ SV34 @ SY2322 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2321 @ SX8 )
| ( member @ SY2320 @ SY2316 @ SX8 ) ) ) ) ) )
| ~ ! [SY2324: mworld] :
( ~ ( mrel @ SY2315 @ SY2324 )
| ~ ! [SY2325: mworld] :
( ~ ( mrel @ SY2324 @ SY2325 )
| ! [SY2326: $i] :
( ~ ( eiw_di @ SY2326 @ SY2325 )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2327 @ SY2328 )
| ( member @ SY2326 @ SV34 @ SY2328 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2327 @ SX8 )
| ( member @ SY2326 @ SY2316 @ SX8 ) ) ) ) )
| ! [SY2330: mworld] :
( ~ ( mrel @ SY2324 @ SY2330 )
| ( subset @ SV34 @ SY2316 @ SY2330 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(162,plain,
! [SV17: mworld,SV35: $i] :
( ( ( ~ ( eiw_di @ SV35 @ SV17 )
| ! [SY2331: mworld] :
( ~ ( mrel @ SV17 @ SY2331 )
| ! [SY2332: $i] :
( ~ ( eiw_di @ SY2332 @ SY2331 )
| ! [SY2333: mworld] :
( ~ ( mrel @ SY2331 @ SY2333 )
| ! [SY2334: $i] :
( ~ ( eiw_di @ SY2334 @ SY2333 )
| ! [SY2335: mworld] :
( ~ ( mrel @ SY2333 @ SY2335 )
| ~ ! [SY2336: mworld] :
( ~ ( mrel @ SY2335 @ SY2336 )
| ( qmltpeq @ SV35 @ SY2332 @ SY2336 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2335 @ SY2337 )
| ( qmltpeq @ ( union @ SV35 @ SY2334 ) @ ( union @ SY2332 @ SY2334 ) @ SY2337 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(163,plain,
! [SV18: mworld,SV36: $i] :
( ( ( ~ ( eiw_di @ SV36 @ SV18 )
| ! [SY2338: mworld] :
( ~ ( mrel @ SV18 @ SY2338 )
| ( qmltpeq @ SV36 @ SV36 @ SY2338 ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(164,plain,
! [SV19: mworld,SV37: $i] :
( ( ( ~ ( eiw_di @ SV37 @ SV19 )
| ! [SY2339: mworld] :
( ~ ( mrel @ SV19 @ SY2339 )
| ! [SY2340: $i] :
( ~ ( eiw_di @ SY2340 @ SY2339 )
| ! [SY2341: mworld] :
( ~ ( mrel @ SY2339 @ SY2341 )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SY2341 @ SY2342 )
| ( qmltpeq @ SV37 @ SY2340 @ SY2342 ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SY2341 @ SY2343 )
| ( qmltpeq @ SY2340 @ SV37 @ SY2343 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(165,plain,
( ( ~ ( mrel @ sK1_SY12 @ sK4_SY2213 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(166,plain,
( ( qmltpeq @ ( union @ sK2_SX0 @ sK2_SX0 ) @ sK2_SX0 @ sK4_SY2213 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(167,plain,
! [SV2: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV2 ) )
= $true )
| ( ( ! [SY2215: mworld] :
( ~ ( mrel @ SV2 @ SY2215 )
| ! [SY2216: $i] :
( ~ ( eiw_di @ SY2216 @ SY2215 )
| ~ ( ~ ! [SY2217: mworld] :
( ~ ( mrel @ SY2215 @ SY2217 )
| ~ ! [SY2218: mworld] :
( ~ ( mrel @ SY2217 @ SY2218 )
| ( qmltpeq @ SV22 @ SY2216 @ SY2218 ) )
| ! [SY2219: mworld] :
( ~ ( mrel @ SY2217 @ SY2219 )
| ! [SY2220: $i] :
( ~ ( eiw_di @ SY2220 @ SY2219 )
| ~ ( ~ ! [SY2221: mworld] :
( ~ ( mrel @ SY2219 @ SY2221 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2221 @ SY2222 )
| ( member @ SY2220 @ SV22 @ SY2222 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2221 @ SX8 )
| ( member @ SY2220 @ SY2216 @ SX8 ) ) )
| ~ ! [SY2224: mworld] :
( ~ ( mrel @ SY2219 @ SY2224 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2224 @ SX8 )
| ( member @ SY2220 @ SY2216 @ SX8 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2224 @ SY2226 )
| ( member @ SY2220 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2227: mworld] :
( ~ ( mrel @ SY2215 @ SY2227 )
| ~ ! [SY2228: mworld] :
( ~ ( mrel @ SY2227 @ SY2228 )
| ! [SY2229: $i] :
( ~ ( eiw_di @ SY2229 @ SY2228 )
| ~ ( ~ ! [SY2230: mworld] :
( ~ ( mrel @ SY2228 @ SY2230 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2230 @ SY2231 )
| ( member @ SY2229 @ SV22 @ SY2231 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2230 @ SX8 )
| ( member @ SY2229 @ SY2216 @ SX8 ) ) )
| ~ ! [SY2233: mworld] :
( ~ ( mrel @ SY2228 @ SY2233 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2233 @ SX8 )
| ( member @ SY2229 @ SY2216 @ SX8 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2233 @ SY2235 )
| ( member @ SY2229 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2236: mworld] :
( ~ ( mrel @ SY2227 @ SY2236 )
| ( qmltpeq @ SV22 @ SY2216 @ SY2236 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(168,plain,
! [SV21: mworld,SV20: mworld,SV3: mworld] :
( ( ( ~ ( ~ ( mrel @ SV3 @ SV20 )
| ~ ( mrel @ SV20 @ SV21 ) ) )
= $false )
| ( ( mrel @ SV3 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(169,plain,
! [SV4: mworld,SV23: $i] :
( ( ( ~ ( eiw_di @ SV23 @ SV4 ) )
= $true )
| ( ( ! [SY2237: mworld] :
( ~ ( mrel @ SV4 @ SY2237 )
| ! [SY2238: $i] :
( ~ ( eiw_di @ SY2238 @ SY2237 )
| ! [SY2239: mworld] :
( ~ ( mrel @ SY2237 @ SY2239 )
| ! [SY2240: $i] :
( ~ ( eiw_di @ SY2240 @ SY2239 )
| ! [SY2241: mworld] :
( ~ ( mrel @ SY2239 @ SY2241 )
| ~ ! [SY2242: mworld] :
( ~ ( mrel @ SY2241 @ SY2242 )
| ( qmltpeq @ SV23 @ SY2238 @ SY2242 ) )
| ! [SY2243: mworld] :
( ~ ( mrel @ SY2241 @ SY2243 )
| ( qmltpeq @ ( union @ SY2240 @ SV23 ) @ ( union @ SY2240 @ SY2238 ) @ SY2243 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(170,plain,
! [SV6: mworld,SV24: $i] :
( ( ( ~ ( eiw_di @ SV24 @ SV6 ) )
= $true )
| ( ( ! [SY2244: mworld] :
( ~ ( mrel @ SV6 @ SY2244 )
| ! [SY2245: $i] :
( ~ ( eiw_di @ SY2245 @ SY2244 )
| ! [SY2246: mworld] :
( ~ ( mrel @ SY2244 @ SY2246 )
| ~ ! [SY2247: mworld] :
( ~ ( mrel @ SY2246 @ SY2247 )
| ( subset @ SV24 @ SY2245 @ SY2247 ) )
| ! [SY2248: mworld] :
( ~ ( mrel @ SY2246 @ SY2248 )
| ( qmltpeq @ ( union @ SV24 @ SY2245 ) @ SY2245 @ SY2248 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(171,plain,
! [SV7: mworld,SV25: $i] :
( ( ( ~ ( eiw_di @ SV25 @ SV7 ) )
= $true )
| ( ( ! [SY2249: mworld] :
( ~ ( mrel @ SV7 @ SY2249 )
| ! [SY2250: $i] :
( ~ ( eiw_di @ SY2250 @ SY2249 )
| ! [SY2251: mworld] :
( ~ ( mrel @ SY2249 @ SY2251 )
| ( qmltpeq @ ( union @ SV25 @ SY2250 ) @ ( union @ SY2250 @ SV25 ) @ SY2251 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(172,plain,
! [SV8: mworld,SV26: $i] :
( ( ( ~ ( eiw_di @ SV26 @ SV8 ) )
= $true )
| ( ( ! [SY2252: mworld] :
( ~ ( mrel @ SV8 @ SY2252 )
| ! [SY2253: $i] :
( ~ ( eiw_di @ SY2253 @ SY2252 )
| ! [SY2254: mworld] :
( ~ ( mrel @ SY2252 @ SY2254 )
| ! [SY2255: $i] :
( ~ ( eiw_di @ SY2255 @ SY2254 )
| ~ ( ~ ! [SY2256: mworld] :
( ~ ( mrel @ SY2254 @ SY2256 )
| ~ ! [SY2257: mworld] :
( ~ ( mrel @ SY2256 @ SY2257 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2253 ) @ SY2257 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2256 @ SY2258 )
| ( member @ SY2255 @ SV26 @ SY2258 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2256 @ SX7 )
| ( member @ SY2255 @ SY2253 @ SX7 ) ) )
| ~ ! [SY2260: mworld] :
( ~ ( mrel @ SY2254 @ SY2260 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2260 @ SY2261 )
| ( member @ SY2255 @ SV26 @ SY2261 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2260 @ SX7 )
| ( member @ SY2255 @ SY2253 @ SX7 ) ) )
| ! [SY2263: mworld] :
( ~ ( mrel @ SY2260 @ SY2263 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2253 ) @ SY2263 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(173,plain,
! [SV9: mworld,SV27: $i] :
( ( ( ~ ( eiw_di @ SV27 @ SV9 ) )
= $true )
| ( ( ! [SY2264: mworld] :
( ~ ( mrel @ SV9 @ SY2264 )
| ! [SY2265: $i] :
( ~ ( eiw_di @ SY2265 @ SY2264 )
| ~ ( ~ ! [SY2266: mworld] :
( ~ ( mrel @ SY2264 @ SY2266 )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SY2266 @ SY2267 )
| ( qmltpeq @ SV27 @ SY2265 @ SY2267 ) )
| ~ ( ~ ! [SY2268: mworld] :
( ~ ( mrel @ SY2266 @ SY2268 )
| ( subset @ SV27 @ SY2265 @ SY2268 ) )
| ~ ! [SY2269: mworld] :
( ~ ( mrel @ SY2266 @ SY2269 )
| ( subset @ SY2265 @ SV27 @ SY2269 ) ) ) )
| ~ ! [SY2270: mworld] :
( ~ ( mrel @ SY2264 @ SY2270 )
| ~ ~ ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SY2270 @ SY2271 )
| ( subset @ SV27 @ SY2265 @ SY2271 ) )
| ~ ! [SY2272: mworld] :
( ~ ( mrel @ SY2270 @ SY2272 )
| ( subset @ SY2265 @ SV27 @ SY2272 ) ) )
| ! [SY2273: mworld] :
( ~ ( mrel @ SY2270 @ SY2273 )
| ( qmltpeq @ SV27 @ SY2265 @ SY2273 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(174,plain,
! [SV10: mworld,SV28: $i] :
( ( ( ~ ( eiw_di @ SV28 @ SV10 ) )
= $true )
| ( ( ! [SY2274: mworld] :
( ~ ( mrel @ SV10 @ SY2274 )
| ! [SY2275: $i] :
( ~ ( eiw_di @ SY2275 @ SY2274 )
| ! [SY2276: mworld] :
( ~ ( mrel @ SY2274 @ SY2276 )
| ! [SY2277: $i] :
( ~ ( eiw_di @ SY2277 @ SY2276 )
| ! [SY2278: mworld] :
( ~ ( mrel @ SY2276 @ SY2278 )
| ~ ~ ( ~ ! [SY2279: mworld] :
( ~ ( mrel @ SY2278 @ SY2279 )
| ( qmltpeq @ SV28 @ SY2275 @ SY2279 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2278 @ SY2280 )
| ( member @ SY2277 @ SV28 @ SY2280 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2278 @ SX7 )
| ( member @ SY2277 @ SY2275 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(175,plain,
! [SV11: mworld,SV29: $i] :
( ( ( ~ ( eiw_di @ SV29 @ SV11 ) )
= $true )
| ( ( ! [SY2282: mworld] :
( ~ ( mrel @ SV11 @ SY2282 )
| ! [SY2283: $i] :
( ~ ( eiw_di @ SY2283 @ SY2282 )
| ! [SY2284: mworld] :
( ~ ( mrel @ SY2282 @ SY2284 )
| ! [SY2285: $i] :
( ~ ( eiw_di @ SY2285 @ SY2284 )
| ! [SY2286: mworld] :
( ~ ( mrel @ SY2284 @ SY2286 )
| ~ ~ ( ~ ! [SY2287: mworld] :
( ~ ( mrel @ SY2286 @ SY2287 )
| ( qmltpeq @ SV29 @ SY2283 @ SY2287 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY2286 @ SX7 )
| ( qmltpeq @ SY2283 @ SY2285 @ SX7 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2286 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2285 @ SY2289 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(176,plain,
! [SV12: mworld,SV30: $i] :
( ( ( ~ ( eiw_di @ SV30 @ SV12 ) )
= $true )
| ( ( ! [SY2290: mworld] :
( ~ ( mrel @ SV12 @ SY2290 )
| ( subset @ SV30 @ SV30 @ SY2290 ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(177,plain,
! [SV13: mworld,SV31: $i] :
( ( ( ~ ( eiw_di @ SV31 @ SV13 ) )
= $true )
| ( ( ! [SY2291: mworld] :
( ~ ( mrel @ SV13 @ SY2291 )
| ! [SY2292: $i] :
( ~ ( eiw_di @ SY2292 @ SY2291 )
| ! [SY2293: mworld] :
( ~ ( mrel @ SY2291 @ SY2293 )
| ! [SY2294: $i] :
( ~ ( eiw_di @ SY2294 @ SY2293 )
| ! [SY2295: mworld] :
( ~ ( mrel @ SY2293 @ SY2295 )
| ~ ~ ( ~ ! [SY2296: mworld] :
( ~ ( mrel @ SY2295 @ SY2296 )
| ( qmltpeq @ SV31 @ SY2292 @ SY2296 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2295 @ SY2297 )
| ( subset @ SY2294 @ SV31 @ SY2297 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2295 @ SX7 )
| ( subset @ SY2294 @ SY2292 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(178,plain,
! [SV14: mworld,SV32: $i] :
( ( ( ~ ( eiw_di @ SV32 @ SV14 ) )
= $true )
| ( ( ! [SY2299: mworld] :
( ~ ( mrel @ SV14 @ SY2299 )
| ! [SY2300: $i] :
( ~ ( eiw_di @ SY2300 @ SY2299 )
| ! [SY2301: mworld] :
( ~ ( mrel @ SY2299 @ SY2301 )
| ! [SY2302: $i] :
( ~ ( eiw_di @ SY2302 @ SY2301 )
| ! [SY2303: mworld] :
( ~ ( mrel @ SY2301 @ SY2303 )
| ~ ~ ( ~ ! [SY2304: mworld] :
( ~ ( mrel @ SY2303 @ SY2304 )
| ( qmltpeq @ SV32 @ SY2300 @ SY2304 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2303 @ SY2305 )
| ( member @ SV32 @ SY2302 @ SY2305 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2303 @ SX7 )
| ( member @ SY2300 @ SY2302 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(179,plain,
! [SV15: mworld,SV33: $i] :
( ( ( ~ ( eiw_di @ SV33 @ SV15 ) )
= $true )
| ( ( ! [SY2307: mworld] :
( ~ ( mrel @ SV15 @ SY2307 )
| ! [SY2308: $i] :
( ~ ( eiw_di @ SY2308 @ SY2307 )
| ! [SY2309: mworld] :
( ~ ( mrel @ SY2307 @ SY2309 )
| ! [SY2310: $i] :
( ~ ( eiw_di @ SY2310 @ SY2309 )
| ! [SY2311: mworld] :
( ~ ( mrel @ SY2309 @ SY2311 )
| ~ ~ ( ~ ! [SY2312: mworld] :
( ~ ( mrel @ SY2311 @ SY2312 )
| ( qmltpeq @ SV33 @ SY2308 @ SY2312 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2311 @ SY2313 )
| ( subset @ SV33 @ SY2310 @ SY2313 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2311 @ SX7 )
| ( subset @ SY2308 @ SY2310 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(180,plain,
! [SV16: mworld,SV34: $i] :
( ( ( ~ ( eiw_di @ SV34 @ SV16 ) )
= $true )
| ( ( ! [SY2315: mworld] :
( ~ ( mrel @ SV16 @ SY2315 )
| ! [SY2316: $i] :
( ~ ( eiw_di @ SY2316 @ SY2315 )
| ~ ( ~ ! [SY2317: mworld] :
( ~ ( mrel @ SY2315 @ SY2317 )
| ~ ! [SY2318: mworld] :
( ~ ( mrel @ SY2317 @ SY2318 )
| ( subset @ SV34 @ SY2316 @ SY2318 ) )
| ! [SY2319: mworld] :
( ~ ( mrel @ SY2317 @ SY2319 )
| ! [SY2320: $i] :
( ~ ( eiw_di @ SY2320 @ SY2319 )
| ! [SY2321: mworld] :
( ~ ( mrel @ SY2319 @ SY2321 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2321 @ SY2322 )
| ( member @ SY2320 @ SV34 @ SY2322 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2321 @ SX8 )
| ( member @ SY2320 @ SY2316 @ SX8 ) ) ) ) ) )
| ~ ! [SY2324: mworld] :
( ~ ( mrel @ SY2315 @ SY2324 )
| ~ ! [SY2325: mworld] :
( ~ ( mrel @ SY2324 @ SY2325 )
| ! [SY2326: $i] :
( ~ ( eiw_di @ SY2326 @ SY2325 )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2327 @ SY2328 )
| ( member @ SY2326 @ SV34 @ SY2328 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2327 @ SX8 )
| ( member @ SY2326 @ SY2316 @ SX8 ) ) ) ) )
| ! [SY2330: mworld] :
( ~ ( mrel @ SY2324 @ SY2330 )
| ( subset @ SV34 @ SY2316 @ SY2330 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(181,plain,
! [SV17: mworld,SV35: $i] :
( ( ( ~ ( eiw_di @ SV35 @ SV17 ) )
= $true )
| ( ( ! [SY2331: mworld] :
( ~ ( mrel @ SV17 @ SY2331 )
| ! [SY2332: $i] :
( ~ ( eiw_di @ SY2332 @ SY2331 )
| ! [SY2333: mworld] :
( ~ ( mrel @ SY2331 @ SY2333 )
| ! [SY2334: $i] :
( ~ ( eiw_di @ SY2334 @ SY2333 )
| ! [SY2335: mworld] :
( ~ ( mrel @ SY2333 @ SY2335 )
| ~ ! [SY2336: mworld] :
( ~ ( mrel @ SY2335 @ SY2336 )
| ( qmltpeq @ SV35 @ SY2332 @ SY2336 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2335 @ SY2337 )
| ( qmltpeq @ ( union @ SV35 @ SY2334 ) @ ( union @ SY2332 @ SY2334 ) @ SY2337 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(182,plain,
! [SV18: mworld,SV36: $i] :
( ( ( ~ ( eiw_di @ SV36 @ SV18 ) )
= $true )
| ( ( ! [SY2338: mworld] :
( ~ ( mrel @ SV18 @ SY2338 )
| ( qmltpeq @ SV36 @ SV36 @ SY2338 ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(183,plain,
! [SV19: mworld,SV37: $i] :
( ( ( ~ ( eiw_di @ SV37 @ SV19 ) )
= $true )
| ( ( ! [SY2339: mworld] :
( ~ ( mrel @ SV19 @ SY2339 )
| ! [SY2340: $i] :
( ~ ( eiw_di @ SY2340 @ SY2339 )
| ! [SY2341: mworld] :
( ~ ( mrel @ SY2339 @ SY2341 )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SY2341 @ SY2342 )
| ( qmltpeq @ SV37 @ SY2340 @ SY2342 ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SY2341 @ SY2343 )
| ( qmltpeq @ SY2340 @ SV37 @ SY2343 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(184,plain,
( ( mrel @ sK1_SY12 @ sK4_SY2213 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(185,plain,
! [SV2: mworld,SV22: $i] :
( ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( ! [SY2215: mworld] :
( ~ ( mrel @ SV2 @ SY2215 )
| ! [SY2216: $i] :
( ~ ( eiw_di @ SY2216 @ SY2215 )
| ~ ( ~ ! [SY2217: mworld] :
( ~ ( mrel @ SY2215 @ SY2217 )
| ~ ! [SY2218: mworld] :
( ~ ( mrel @ SY2217 @ SY2218 )
| ( qmltpeq @ SV22 @ SY2216 @ SY2218 ) )
| ! [SY2219: mworld] :
( ~ ( mrel @ SY2217 @ SY2219 )
| ! [SY2220: $i] :
( ~ ( eiw_di @ SY2220 @ SY2219 )
| ~ ( ~ ! [SY2221: mworld] :
( ~ ( mrel @ SY2219 @ SY2221 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2221 @ SY2222 )
| ( member @ SY2220 @ SV22 @ SY2222 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2221 @ SX8 )
| ( member @ SY2220 @ SY2216 @ SX8 ) ) )
| ~ ! [SY2224: mworld] :
( ~ ( mrel @ SY2219 @ SY2224 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2224 @ SX8 )
| ( member @ SY2220 @ SY2216 @ SX8 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2224 @ SY2226 )
| ( member @ SY2220 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2227: mworld] :
( ~ ( mrel @ SY2215 @ SY2227 )
| ~ ! [SY2228: mworld] :
( ~ ( mrel @ SY2227 @ SY2228 )
| ! [SY2229: $i] :
( ~ ( eiw_di @ SY2229 @ SY2228 )
| ~ ( ~ ! [SY2230: mworld] :
( ~ ( mrel @ SY2228 @ SY2230 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2230 @ SY2231 )
| ( member @ SY2229 @ SV22 @ SY2231 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2230 @ SX8 )
| ( member @ SY2229 @ SY2216 @ SX8 ) ) )
| ~ ! [SY2233: mworld] :
( ~ ( mrel @ SY2228 @ SY2233 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2233 @ SX8 )
| ( member @ SY2229 @ SY2216 @ SX8 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2233 @ SY2235 )
| ( member @ SY2229 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2236: mworld] :
( ~ ( mrel @ SY2227 @ SY2236 )
| ( qmltpeq @ SV22 @ SY2216 @ SY2236 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(186,plain,
! [SV21: mworld,SV20: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV20 )
| ~ ( mrel @ SV20 @ SV21 ) )
= $true )
| ( ( mrel @ SV3 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(187,plain,
! [SV4: mworld,SV23: $i] :
( ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( ! [SY2237: mworld] :
( ~ ( mrel @ SV4 @ SY2237 )
| ! [SY2238: $i] :
( ~ ( eiw_di @ SY2238 @ SY2237 )
| ! [SY2239: mworld] :
( ~ ( mrel @ SY2237 @ SY2239 )
| ! [SY2240: $i] :
( ~ ( eiw_di @ SY2240 @ SY2239 )
| ! [SY2241: mworld] :
( ~ ( mrel @ SY2239 @ SY2241 )
| ~ ! [SY2242: mworld] :
( ~ ( mrel @ SY2241 @ SY2242 )
| ( qmltpeq @ SV23 @ SY2238 @ SY2242 ) )
| ! [SY2243: mworld] :
( ~ ( mrel @ SY2241 @ SY2243 )
| ( qmltpeq @ ( union @ SY2240 @ SV23 ) @ ( union @ SY2240 @ SY2238 ) @ SY2243 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(188,plain,
! [SV6: mworld,SV24: $i] :
( ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( ! [SY2244: mworld] :
( ~ ( mrel @ SV6 @ SY2244 )
| ! [SY2245: $i] :
( ~ ( eiw_di @ SY2245 @ SY2244 )
| ! [SY2246: mworld] :
( ~ ( mrel @ SY2244 @ SY2246 )
| ~ ! [SY2247: mworld] :
( ~ ( mrel @ SY2246 @ SY2247 )
| ( subset @ SV24 @ SY2245 @ SY2247 ) )
| ! [SY2248: mworld] :
( ~ ( mrel @ SY2246 @ SY2248 )
| ( qmltpeq @ ( union @ SV24 @ SY2245 ) @ SY2245 @ SY2248 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(189,plain,
! [SV7: mworld,SV25: $i] :
( ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( ! [SY2249: mworld] :
( ~ ( mrel @ SV7 @ SY2249 )
| ! [SY2250: $i] :
( ~ ( eiw_di @ SY2250 @ SY2249 )
| ! [SY2251: mworld] :
( ~ ( mrel @ SY2249 @ SY2251 )
| ( qmltpeq @ ( union @ SV25 @ SY2250 ) @ ( union @ SY2250 @ SV25 ) @ SY2251 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(190,plain,
! [SV8: mworld,SV26: $i] :
( ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( ! [SY2252: mworld] :
( ~ ( mrel @ SV8 @ SY2252 )
| ! [SY2253: $i] :
( ~ ( eiw_di @ SY2253 @ SY2252 )
| ! [SY2254: mworld] :
( ~ ( mrel @ SY2252 @ SY2254 )
| ! [SY2255: $i] :
( ~ ( eiw_di @ SY2255 @ SY2254 )
| ~ ( ~ ! [SY2256: mworld] :
( ~ ( mrel @ SY2254 @ SY2256 )
| ~ ! [SY2257: mworld] :
( ~ ( mrel @ SY2256 @ SY2257 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2253 ) @ SY2257 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2256 @ SY2258 )
| ( member @ SY2255 @ SV26 @ SY2258 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2256 @ SX7 )
| ( member @ SY2255 @ SY2253 @ SX7 ) ) )
| ~ ! [SY2260: mworld] :
( ~ ( mrel @ SY2254 @ SY2260 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2260 @ SY2261 )
| ( member @ SY2255 @ SV26 @ SY2261 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2260 @ SX7 )
| ( member @ SY2255 @ SY2253 @ SX7 ) ) )
| ! [SY2263: mworld] :
( ~ ( mrel @ SY2260 @ SY2263 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2253 ) @ SY2263 ) ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(191,plain,
! [SV9: mworld,SV27: $i] :
( ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( ! [SY2264: mworld] :
( ~ ( mrel @ SV9 @ SY2264 )
| ! [SY2265: $i] :
( ~ ( eiw_di @ SY2265 @ SY2264 )
| ~ ( ~ ! [SY2266: mworld] :
( ~ ( mrel @ SY2264 @ SY2266 )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SY2266 @ SY2267 )
| ( qmltpeq @ SV27 @ SY2265 @ SY2267 ) )
| ~ ( ~ ! [SY2268: mworld] :
( ~ ( mrel @ SY2266 @ SY2268 )
| ( subset @ SV27 @ SY2265 @ SY2268 ) )
| ~ ! [SY2269: mworld] :
( ~ ( mrel @ SY2266 @ SY2269 )
| ( subset @ SY2265 @ SV27 @ SY2269 ) ) ) )
| ~ ! [SY2270: mworld] :
( ~ ( mrel @ SY2264 @ SY2270 )
| ~ ~ ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SY2270 @ SY2271 )
| ( subset @ SV27 @ SY2265 @ SY2271 ) )
| ~ ! [SY2272: mworld] :
( ~ ( mrel @ SY2270 @ SY2272 )
| ( subset @ SY2265 @ SV27 @ SY2272 ) ) )
| ! [SY2273: mworld] :
( ~ ( mrel @ SY2270 @ SY2273 )
| ( qmltpeq @ SV27 @ SY2265 @ SY2273 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(192,plain,
! [SV10: mworld,SV28: $i] :
( ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( ! [SY2274: mworld] :
( ~ ( mrel @ SV10 @ SY2274 )
| ! [SY2275: $i] :
( ~ ( eiw_di @ SY2275 @ SY2274 )
| ! [SY2276: mworld] :
( ~ ( mrel @ SY2274 @ SY2276 )
| ! [SY2277: $i] :
( ~ ( eiw_di @ SY2277 @ SY2276 )
| ! [SY2278: mworld] :
( ~ ( mrel @ SY2276 @ SY2278 )
| ~ ~ ( ~ ! [SY2279: mworld] :
( ~ ( mrel @ SY2278 @ SY2279 )
| ( qmltpeq @ SV28 @ SY2275 @ SY2279 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2278 @ SY2280 )
| ( member @ SY2277 @ SV28 @ SY2280 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2278 @ SX7 )
| ( member @ SY2277 @ SY2275 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(193,plain,
! [SV11: mworld,SV29: $i] :
( ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( ! [SY2282: mworld] :
( ~ ( mrel @ SV11 @ SY2282 )
| ! [SY2283: $i] :
( ~ ( eiw_di @ SY2283 @ SY2282 )
| ! [SY2284: mworld] :
( ~ ( mrel @ SY2282 @ SY2284 )
| ! [SY2285: $i] :
( ~ ( eiw_di @ SY2285 @ SY2284 )
| ! [SY2286: mworld] :
( ~ ( mrel @ SY2284 @ SY2286 )
| ~ ~ ( ~ ! [SY2287: mworld] :
( ~ ( mrel @ SY2286 @ SY2287 )
| ( qmltpeq @ SV29 @ SY2283 @ SY2287 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY2286 @ SX7 )
| ( qmltpeq @ SY2283 @ SY2285 @ SX7 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2286 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2285 @ SY2289 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(194,plain,
! [SV12: mworld,SV30: $i] :
( ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( ! [SY2290: mworld] :
( ~ ( mrel @ SV12 @ SY2290 )
| ( subset @ SV30 @ SV30 @ SY2290 ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(195,plain,
! [SV13: mworld,SV31: $i] :
( ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( ! [SY2291: mworld] :
( ~ ( mrel @ SV13 @ SY2291 )
| ! [SY2292: $i] :
( ~ ( eiw_di @ SY2292 @ SY2291 )
| ! [SY2293: mworld] :
( ~ ( mrel @ SY2291 @ SY2293 )
| ! [SY2294: $i] :
( ~ ( eiw_di @ SY2294 @ SY2293 )
| ! [SY2295: mworld] :
( ~ ( mrel @ SY2293 @ SY2295 )
| ~ ~ ( ~ ! [SY2296: mworld] :
( ~ ( mrel @ SY2295 @ SY2296 )
| ( qmltpeq @ SV31 @ SY2292 @ SY2296 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2295 @ SY2297 )
| ( subset @ SY2294 @ SV31 @ SY2297 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2295 @ SX7 )
| ( subset @ SY2294 @ SY2292 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(196,plain,
! [SV14: mworld,SV32: $i] :
( ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( ! [SY2299: mworld] :
( ~ ( mrel @ SV14 @ SY2299 )
| ! [SY2300: $i] :
( ~ ( eiw_di @ SY2300 @ SY2299 )
| ! [SY2301: mworld] :
( ~ ( mrel @ SY2299 @ SY2301 )
| ! [SY2302: $i] :
( ~ ( eiw_di @ SY2302 @ SY2301 )
| ! [SY2303: mworld] :
( ~ ( mrel @ SY2301 @ SY2303 )
| ~ ~ ( ~ ! [SY2304: mworld] :
( ~ ( mrel @ SY2303 @ SY2304 )
| ( qmltpeq @ SV32 @ SY2300 @ SY2304 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2303 @ SY2305 )
| ( member @ SV32 @ SY2302 @ SY2305 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2303 @ SX7 )
| ( member @ SY2300 @ SY2302 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(197,plain,
! [SV15: mworld,SV33: $i] :
( ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( ! [SY2307: mworld] :
( ~ ( mrel @ SV15 @ SY2307 )
| ! [SY2308: $i] :
( ~ ( eiw_di @ SY2308 @ SY2307 )
| ! [SY2309: mworld] :
( ~ ( mrel @ SY2307 @ SY2309 )
| ! [SY2310: $i] :
( ~ ( eiw_di @ SY2310 @ SY2309 )
| ! [SY2311: mworld] :
( ~ ( mrel @ SY2309 @ SY2311 )
| ~ ~ ( ~ ! [SY2312: mworld] :
( ~ ( mrel @ SY2311 @ SY2312 )
| ( qmltpeq @ SV33 @ SY2308 @ SY2312 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2311 @ SY2313 )
| ( subset @ SV33 @ SY2310 @ SY2313 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2311 @ SX7 )
| ( subset @ SY2308 @ SY2310 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(198,plain,
! [SV16: mworld,SV34: $i] :
( ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( ! [SY2315: mworld] :
( ~ ( mrel @ SV16 @ SY2315 )
| ! [SY2316: $i] :
( ~ ( eiw_di @ SY2316 @ SY2315 )
| ~ ( ~ ! [SY2317: mworld] :
( ~ ( mrel @ SY2315 @ SY2317 )
| ~ ! [SY2318: mworld] :
( ~ ( mrel @ SY2317 @ SY2318 )
| ( subset @ SV34 @ SY2316 @ SY2318 ) )
| ! [SY2319: mworld] :
( ~ ( mrel @ SY2317 @ SY2319 )
| ! [SY2320: $i] :
( ~ ( eiw_di @ SY2320 @ SY2319 )
| ! [SY2321: mworld] :
( ~ ( mrel @ SY2319 @ SY2321 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2321 @ SY2322 )
| ( member @ SY2320 @ SV34 @ SY2322 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2321 @ SX8 )
| ( member @ SY2320 @ SY2316 @ SX8 ) ) ) ) ) )
| ~ ! [SY2324: mworld] :
( ~ ( mrel @ SY2315 @ SY2324 )
| ~ ! [SY2325: mworld] :
( ~ ( mrel @ SY2324 @ SY2325 )
| ! [SY2326: $i] :
( ~ ( eiw_di @ SY2326 @ SY2325 )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2327 @ SY2328 )
| ( member @ SY2326 @ SV34 @ SY2328 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2327 @ SX8 )
| ( member @ SY2326 @ SY2316 @ SX8 ) ) ) ) )
| ! [SY2330: mworld] :
( ~ ( mrel @ SY2324 @ SY2330 )
| ( subset @ SV34 @ SY2316 @ SY2330 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV17: mworld,SV35: $i] :
( ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( ! [SY2331: mworld] :
( ~ ( mrel @ SV17 @ SY2331 )
| ! [SY2332: $i] :
( ~ ( eiw_di @ SY2332 @ SY2331 )
| ! [SY2333: mworld] :
( ~ ( mrel @ SY2331 @ SY2333 )
| ! [SY2334: $i] :
( ~ ( eiw_di @ SY2334 @ SY2333 )
| ! [SY2335: mworld] :
( ~ ( mrel @ SY2333 @ SY2335 )
| ~ ! [SY2336: mworld] :
( ~ ( mrel @ SY2335 @ SY2336 )
| ( qmltpeq @ SV35 @ SY2332 @ SY2336 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2335 @ SY2337 )
| ( qmltpeq @ ( union @ SV35 @ SY2334 ) @ ( union @ SY2332 @ SY2334 ) @ SY2337 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(200,plain,
! [SV18: mworld,SV36: $i] :
( ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( ! [SY2338: mworld] :
( ~ ( mrel @ SV18 @ SY2338 )
| ( qmltpeq @ SV36 @ SV36 @ SY2338 ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(201,plain,
! [SV19: mworld,SV37: $i] :
( ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( ! [SY2339: mworld] :
( ~ ( mrel @ SV19 @ SY2339 )
| ! [SY2340: $i] :
( ~ ( eiw_di @ SY2340 @ SY2339 )
| ! [SY2341: mworld] :
( ~ ( mrel @ SY2339 @ SY2341 )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SY2341 @ SY2342 )
| ( qmltpeq @ SV37 @ SY2340 @ SY2342 ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SY2341 @ SY2343 )
| ( qmltpeq @ SY2340 @ SV37 @ SY2343 ) ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(202,plain,
! [SV22: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV38 )
| ! [SY2344: $i] :
( ~ ( eiw_di @ SY2344 @ SV38 )
| ~ ( ~ ! [SY2345: mworld] :
( ~ ( mrel @ SV38 @ SY2345 )
| ~ ! [SY2218: mworld] :
( ~ ( mrel @ SY2345 @ SY2218 )
| ( qmltpeq @ SV22 @ SY2344 @ SY2218 ) )
| ! [SY2219: mworld] :
( ~ ( mrel @ SY2345 @ SY2219 )
| ! [SY2220: $i] :
( ~ ( eiw_di @ SY2220 @ SY2219 )
| ~ ( ~ ! [SY2221: mworld] :
( ~ ( mrel @ SY2219 @ SY2221 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2221 @ SY2222 )
| ( member @ SY2220 @ SV22 @ SY2222 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2221 @ SX8 )
| ( member @ SY2220 @ SY2344 @ SX8 ) ) )
| ~ ! [SY2224: mworld] :
( ~ ( mrel @ SY2219 @ SY2224 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2224 @ SX8 )
| ( member @ SY2220 @ SY2344 @ SX8 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2224 @ SY2226 )
| ( member @ SY2220 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV38 @ SY2355 )
| ~ ! [SY2228: mworld] :
( ~ ( mrel @ SY2355 @ SY2228 )
| ! [SY2229: $i] :
( ~ ( eiw_di @ SY2229 @ SY2228 )
| ~ ( ~ ! [SY2230: mworld] :
( ~ ( mrel @ SY2228 @ SY2230 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2230 @ SY2231 )
| ( member @ SY2229 @ SV22 @ SY2231 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2230 @ SX8 )
| ( member @ SY2229 @ SY2344 @ SX8 ) ) )
| ~ ! [SY2233: mworld] :
( ~ ( mrel @ SY2228 @ SY2233 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2233 @ SX8 )
| ( member @ SY2229 @ SY2344 @ SX8 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2233 @ SY2235 )
| ( member @ SY2229 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2236: mworld] :
( ~ ( mrel @ SY2355 @ SY2236 )
| ( qmltpeq @ SV22 @ SY2344 @ SY2236 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(203,plain,
! [SV21: mworld,SV20: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV20 ) )
= $true )
| ( ( ~ ( mrel @ SV20 @ SV21 ) )
= $true )
| ( ( mrel @ SV3 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(204,plain,
! [SV23: $i,SV39: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV39 )
| ! [SY2365: $i] :
( ~ ( eiw_di @ SY2365 @ SV39 )
| ! [SY2366: mworld] :
( ~ ( mrel @ SV39 @ SY2366 )
| ! [SY2240: $i] :
( ~ ( eiw_di @ SY2240 @ SY2366 )
| ! [SY2241: mworld] :
( ~ ( mrel @ SY2366 @ SY2241 )
| ~ ! [SY2242: mworld] :
( ~ ( mrel @ SY2241 @ SY2242 )
| ( qmltpeq @ SV23 @ SY2365 @ SY2242 ) )
| ! [SY2243: mworld] :
( ~ ( mrel @ SY2241 @ SY2243 )
| ( qmltpeq @ ( union @ SY2240 @ SV23 ) @ ( union @ SY2240 @ SY2365 ) @ SY2243 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(205,plain,
! [SV24: $i,SV40: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV40 )
| ! [SY2371: $i] :
( ~ ( eiw_di @ SY2371 @ SV40 )
| ! [SY2372: mworld] :
( ~ ( mrel @ SV40 @ SY2372 )
| ~ ! [SY2247: mworld] :
( ~ ( mrel @ SY2372 @ SY2247 )
| ( subset @ SV24 @ SY2371 @ SY2247 ) )
| ! [SY2248: mworld] :
( ~ ( mrel @ SY2372 @ SY2248 )
| ( qmltpeq @ ( union @ SV24 @ SY2371 ) @ SY2371 @ SY2248 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(206,plain,
! [SV25: $i,SV41: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV41 )
| ! [SY2375: $i] :
( ~ ( eiw_di @ SY2375 @ SV41 )
| ! [SY2376: mworld] :
( ~ ( mrel @ SV41 @ SY2376 )
| ( qmltpeq @ ( union @ SV25 @ SY2375 ) @ ( union @ SY2375 @ SV25 ) @ SY2376 ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(207,plain,
! [SV26: $i,SV42: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV42 )
| ! [SY2377: $i] :
( ~ ( eiw_di @ SY2377 @ SV42 )
| ! [SY2378: mworld] :
( ~ ( mrel @ SV42 @ SY2378 )
| ! [SY2255: $i] :
( ~ ( eiw_di @ SY2255 @ SY2378 )
| ~ ( ~ ! [SY2256: mworld] :
( ~ ( mrel @ SY2378 @ SY2256 )
| ~ ! [SY2257: mworld] :
( ~ ( mrel @ SY2256 @ SY2257 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2377 ) @ SY2257 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2256 @ SY2258 )
| ( member @ SY2255 @ SV26 @ SY2258 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2256 @ SX7 )
| ( member @ SY2255 @ SY2377 @ SX7 ) ) )
| ~ ! [SY2260: mworld] :
( ~ ( mrel @ SY2378 @ SY2260 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2260 @ SY2261 )
| ( member @ SY2255 @ SV26 @ SY2261 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2260 @ SX7 )
| ( member @ SY2255 @ SY2377 @ SX7 ) ) )
| ! [SY2263: mworld] :
( ~ ( mrel @ SY2260 @ SY2263 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2377 ) @ SY2263 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(208,plain,
! [SV27: $i,SV43: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV43 )
| ! [SY2388: $i] :
( ~ ( eiw_di @ SY2388 @ SV43 )
| ~ ( ~ ! [SY2389: mworld] :
( ~ ( mrel @ SV43 @ SY2389 )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SY2389 @ SY2267 )
| ( qmltpeq @ SV27 @ SY2388 @ SY2267 ) )
| ~ ( ~ ! [SY2268: mworld] :
( ~ ( mrel @ SY2389 @ SY2268 )
| ( subset @ SV27 @ SY2388 @ SY2268 ) )
| ~ ! [SY2269: mworld] :
( ~ ( mrel @ SY2389 @ SY2269 )
| ( subset @ SY2388 @ SV27 @ SY2269 ) ) ) )
| ~ ! [SY2393: mworld] :
( ~ ( mrel @ SV43 @ SY2393 )
| ~ ~ ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SY2393 @ SY2271 )
| ( subset @ SV27 @ SY2388 @ SY2271 ) )
| ~ ! [SY2272: mworld] :
( ~ ( mrel @ SY2393 @ SY2272 )
| ( subset @ SY2388 @ SV27 @ SY2272 ) ) )
| ! [SY2273: mworld] :
( ~ ( mrel @ SY2393 @ SY2273 )
| ( qmltpeq @ SV27 @ SY2388 @ SY2273 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(209,plain,
! [SV28: $i,SV44: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV44 )
| ! [SY2397: $i] :
( ~ ( eiw_di @ SY2397 @ SV44 )
| ! [SY2398: mworld] :
( ~ ( mrel @ SV44 @ SY2398 )
| ! [SY2277: $i] :
( ~ ( eiw_di @ SY2277 @ SY2398 )
| ! [SY2278: mworld] :
( ~ ( mrel @ SY2398 @ SY2278 )
| ~ ~ ( ~ ! [SY2279: mworld] :
( ~ ( mrel @ SY2278 @ SY2279 )
| ( qmltpeq @ SV28 @ SY2397 @ SY2279 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2278 @ SY2280 )
| ( member @ SY2277 @ SV28 @ SY2280 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2278 @ SX7 )
| ( member @ SY2277 @ SY2397 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(210,plain,
! [SV29: $i,SV45: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV45 )
| ! [SY2404: $i] :
( ~ ( eiw_di @ SY2404 @ SV45 )
| ! [SY2405: mworld] :
( ~ ( mrel @ SV45 @ SY2405 )
| ! [SY2285: $i] :
( ~ ( eiw_di @ SY2285 @ SY2405 )
| ! [SY2286: mworld] :
( ~ ( mrel @ SY2405 @ SY2286 )
| ~ ~ ( ~ ! [SY2287: mworld] :
( ~ ( mrel @ SY2286 @ SY2287 )
| ( qmltpeq @ SV29 @ SY2404 @ SY2287 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY2286 @ SX7 )
| ( qmltpeq @ SY2404 @ SY2285 @ SX7 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2286 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2285 @ SY2289 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(211,plain,
! [SV30: $i,SV46: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV46 )
| ( subset @ SV30 @ SV30 @ SV46 ) )
= $true )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(212,plain,
! [SV31: $i,SV47: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV47 )
| ! [SY2411: $i] :
( ~ ( eiw_di @ SY2411 @ SV47 )
| ! [SY2412: mworld] :
( ~ ( mrel @ SV47 @ SY2412 )
| ! [SY2294: $i] :
( ~ ( eiw_di @ SY2294 @ SY2412 )
| ! [SY2295: mworld] :
( ~ ( mrel @ SY2412 @ SY2295 )
| ~ ~ ( ~ ! [SY2296: mworld] :
( ~ ( mrel @ SY2295 @ SY2296 )
| ( qmltpeq @ SV31 @ SY2411 @ SY2296 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2295 @ SY2297 )
| ( subset @ SY2294 @ SV31 @ SY2297 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2295 @ SX7 )
| ( subset @ SY2294 @ SY2411 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(213,plain,
! [SV32: $i,SV48: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV48 )
| ! [SY2418: $i] :
( ~ ( eiw_di @ SY2418 @ SV48 )
| ! [SY2419: mworld] :
( ~ ( mrel @ SV48 @ SY2419 )
| ! [SY2302: $i] :
( ~ ( eiw_di @ SY2302 @ SY2419 )
| ! [SY2303: mworld] :
( ~ ( mrel @ SY2419 @ SY2303 )
| ~ ~ ( ~ ! [SY2304: mworld] :
( ~ ( mrel @ SY2303 @ SY2304 )
| ( qmltpeq @ SV32 @ SY2418 @ SY2304 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2303 @ SY2305 )
| ( member @ SV32 @ SY2302 @ SY2305 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2303 @ SX7 )
| ( member @ SY2418 @ SY2302 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(214,plain,
! [SV33: $i,SV49: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV49 )
| ! [SY2425: $i] :
( ~ ( eiw_di @ SY2425 @ SV49 )
| ! [SY2426: mworld] :
( ~ ( mrel @ SV49 @ SY2426 )
| ! [SY2310: $i] :
( ~ ( eiw_di @ SY2310 @ SY2426 )
| ! [SY2311: mworld] :
( ~ ( mrel @ SY2426 @ SY2311 )
| ~ ~ ( ~ ! [SY2312: mworld] :
( ~ ( mrel @ SY2311 @ SY2312 )
| ( qmltpeq @ SV33 @ SY2425 @ SY2312 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2311 @ SY2313 )
| ( subset @ SV33 @ SY2310 @ SY2313 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2311 @ SX7 )
| ( subset @ SY2425 @ SY2310 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(215,plain,
! [SV34: $i,SV50: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ SV50 )
| ! [SY2432: $i] :
( ~ ( eiw_di @ SY2432 @ SV50 )
| ~ ( ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV50 @ SY2433 )
| ~ ! [SY2318: mworld] :
( ~ ( mrel @ SY2433 @ SY2318 )
| ( subset @ SV34 @ SY2432 @ SY2318 ) )
| ! [SY2319: mworld] :
( ~ ( mrel @ SY2433 @ SY2319 )
| ! [SY2320: $i] :
( ~ ( eiw_di @ SY2320 @ SY2319 )
| ! [SY2321: mworld] :
( ~ ( mrel @ SY2319 @ SY2321 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2321 @ SY2322 )
| ( member @ SY2320 @ SV34 @ SY2322 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2321 @ SX8 )
| ( member @ SY2320 @ SY2432 @ SX8 ) ) ) ) ) )
| ~ ! [SY2440: mworld] :
( ~ ( mrel @ SV50 @ SY2440 )
| ~ ! [SY2325: mworld] :
( ~ ( mrel @ SY2440 @ SY2325 )
| ! [SY2326: $i] :
( ~ ( eiw_di @ SY2326 @ SY2325 )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2327 @ SY2328 )
| ( member @ SY2326 @ SV34 @ SY2328 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2327 @ SX8 )
| ( member @ SY2326 @ SY2432 @ SX8 ) ) ) ) )
| ! [SY2330: mworld] :
( ~ ( mrel @ SY2440 @ SY2330 )
| ( subset @ SV34 @ SY2432 @ SY2330 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(216,plain,
! [SV35: $i,SV51: mworld,SV17: mworld] :
( ( ( ~ ( mrel @ SV17 @ SV51 )
| ! [SY2447: $i] :
( ~ ( eiw_di @ SY2447 @ SV51 )
| ! [SY2448: mworld] :
( ~ ( mrel @ SV51 @ SY2448 )
| ! [SY2334: $i] :
( ~ ( eiw_di @ SY2334 @ SY2448 )
| ! [SY2335: mworld] :
( ~ ( mrel @ SY2448 @ SY2335 )
| ~ ! [SY2336: mworld] :
( ~ ( mrel @ SY2335 @ SY2336 )
| ( qmltpeq @ SV35 @ SY2447 @ SY2336 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2335 @ SY2337 )
| ( qmltpeq @ ( union @ SV35 @ SY2334 ) @ ( union @ SY2447 @ SY2334 ) @ SY2337 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(217,plain,
! [SV36: $i,SV52: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV52 )
| ( qmltpeq @ SV36 @ SV36 @ SV52 ) )
= $true )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(218,plain,
! [SV37: $i,SV53: mworld,SV19: mworld] :
( ( ( ~ ( mrel @ SV19 @ SV53 )
| ! [SY2453: $i] :
( ~ ( eiw_di @ SY2453 @ SV53 )
| ! [SY2454: mworld] :
( ~ ( mrel @ SV53 @ SY2454 )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SY2454 @ SY2342 )
| ( qmltpeq @ SV37 @ SY2453 @ SY2342 ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SY2454 @ SY2343 )
| ( qmltpeq @ SY2453 @ SV37 @ SY2343 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(219,plain,
! [SV22: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV38 ) )
= $true )
| ( ( ! [SY2344: $i] :
( ~ ( eiw_di @ SY2344 @ SV38 )
| ~ ( ~ ! [SY2345: mworld] :
( ~ ( mrel @ SV38 @ SY2345 )
| ~ ! [SY2218: mworld] :
( ~ ( mrel @ SY2345 @ SY2218 )
| ( qmltpeq @ SV22 @ SY2344 @ SY2218 ) )
| ! [SY2219: mworld] :
( ~ ( mrel @ SY2345 @ SY2219 )
| ! [SY2220: $i] :
( ~ ( eiw_di @ SY2220 @ SY2219 )
| ~ ( ~ ! [SY2221: mworld] :
( ~ ( mrel @ SY2219 @ SY2221 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2221 @ SY2222 )
| ( member @ SY2220 @ SV22 @ SY2222 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2221 @ SX8 )
| ( member @ SY2220 @ SY2344 @ SX8 ) ) )
| ~ ! [SY2224: mworld] :
( ~ ( mrel @ SY2219 @ SY2224 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2224 @ SX8 )
| ( member @ SY2220 @ SY2344 @ SX8 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2224 @ SY2226 )
| ( member @ SY2220 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV38 @ SY2355 )
| ~ ! [SY2228: mworld] :
( ~ ( mrel @ SY2355 @ SY2228 )
| ! [SY2229: $i] :
( ~ ( eiw_di @ SY2229 @ SY2228 )
| ~ ( ~ ! [SY2230: mworld] :
( ~ ( mrel @ SY2228 @ SY2230 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2230 @ SY2231 )
| ( member @ SY2229 @ SV22 @ SY2231 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2230 @ SX8 )
| ( member @ SY2229 @ SY2344 @ SX8 ) ) )
| ~ ! [SY2233: mworld] :
( ~ ( mrel @ SY2228 @ SY2233 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2233 @ SX8 )
| ( member @ SY2229 @ SY2344 @ SX8 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2233 @ SY2235 )
| ( member @ SY2229 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2236: mworld] :
( ~ ( mrel @ SY2355 @ SY2236 )
| ( qmltpeq @ SV22 @ SY2344 @ SY2236 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(220,plain,
! [SV21: mworld,SV20: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV20 )
= $false )
| ( ( ~ ( mrel @ SV20 @ SV21 ) )
= $true )
| ( ( mrel @ SV3 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(221,plain,
! [SV23: $i,SV39: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV39 ) )
= $true )
| ( ( ! [SY2365: $i] :
( ~ ( eiw_di @ SY2365 @ SV39 )
| ! [SY2366: mworld] :
( ~ ( mrel @ SV39 @ SY2366 )
| ! [SY2240: $i] :
( ~ ( eiw_di @ SY2240 @ SY2366 )
| ! [SY2241: mworld] :
( ~ ( mrel @ SY2366 @ SY2241 )
| ~ ! [SY2242: mworld] :
( ~ ( mrel @ SY2241 @ SY2242 )
| ( qmltpeq @ SV23 @ SY2365 @ SY2242 ) )
| ! [SY2243: mworld] :
( ~ ( mrel @ SY2241 @ SY2243 )
| ( qmltpeq @ ( union @ SY2240 @ SV23 ) @ ( union @ SY2240 @ SY2365 ) @ SY2243 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(222,plain,
! [SV24: $i,SV40: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV40 ) )
= $true )
| ( ( ! [SY2371: $i] :
( ~ ( eiw_di @ SY2371 @ SV40 )
| ! [SY2372: mworld] :
( ~ ( mrel @ SV40 @ SY2372 )
| ~ ! [SY2247: mworld] :
( ~ ( mrel @ SY2372 @ SY2247 )
| ( subset @ SV24 @ SY2371 @ SY2247 ) )
| ! [SY2248: mworld] :
( ~ ( mrel @ SY2372 @ SY2248 )
| ( qmltpeq @ ( union @ SV24 @ SY2371 ) @ SY2371 @ SY2248 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(223,plain,
! [SV25: $i,SV41: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV41 ) )
= $true )
| ( ( ! [SY2375: $i] :
( ~ ( eiw_di @ SY2375 @ SV41 )
| ! [SY2376: mworld] :
( ~ ( mrel @ SV41 @ SY2376 )
| ( qmltpeq @ ( union @ SV25 @ SY2375 ) @ ( union @ SY2375 @ SV25 ) @ SY2376 ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(224,plain,
! [SV26: $i,SV42: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV42 ) )
= $true )
| ( ( ! [SY2377: $i] :
( ~ ( eiw_di @ SY2377 @ SV42 )
| ! [SY2378: mworld] :
( ~ ( mrel @ SV42 @ SY2378 )
| ! [SY2255: $i] :
( ~ ( eiw_di @ SY2255 @ SY2378 )
| ~ ( ~ ! [SY2256: mworld] :
( ~ ( mrel @ SY2378 @ SY2256 )
| ~ ! [SY2257: mworld] :
( ~ ( mrel @ SY2256 @ SY2257 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2377 ) @ SY2257 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2256 @ SY2258 )
| ( member @ SY2255 @ SV26 @ SY2258 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2256 @ SX7 )
| ( member @ SY2255 @ SY2377 @ SX7 ) ) )
| ~ ! [SY2260: mworld] :
( ~ ( mrel @ SY2378 @ SY2260 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2260 @ SY2261 )
| ( member @ SY2255 @ SV26 @ SY2261 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2260 @ SX7 )
| ( member @ SY2255 @ SY2377 @ SX7 ) ) )
| ! [SY2263: mworld] :
( ~ ( mrel @ SY2260 @ SY2263 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2377 ) @ SY2263 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(225,plain,
! [SV27: $i,SV43: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV43 ) )
= $true )
| ( ( ! [SY2388: $i] :
( ~ ( eiw_di @ SY2388 @ SV43 )
| ~ ( ~ ! [SY2389: mworld] :
( ~ ( mrel @ SV43 @ SY2389 )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SY2389 @ SY2267 )
| ( qmltpeq @ SV27 @ SY2388 @ SY2267 ) )
| ~ ( ~ ! [SY2268: mworld] :
( ~ ( mrel @ SY2389 @ SY2268 )
| ( subset @ SV27 @ SY2388 @ SY2268 ) )
| ~ ! [SY2269: mworld] :
( ~ ( mrel @ SY2389 @ SY2269 )
| ( subset @ SY2388 @ SV27 @ SY2269 ) ) ) )
| ~ ! [SY2393: mworld] :
( ~ ( mrel @ SV43 @ SY2393 )
| ~ ~ ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SY2393 @ SY2271 )
| ( subset @ SV27 @ SY2388 @ SY2271 ) )
| ~ ! [SY2272: mworld] :
( ~ ( mrel @ SY2393 @ SY2272 )
| ( subset @ SY2388 @ SV27 @ SY2272 ) ) )
| ! [SY2273: mworld] :
( ~ ( mrel @ SY2393 @ SY2273 )
| ( qmltpeq @ SV27 @ SY2388 @ SY2273 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(226,plain,
! [SV28: $i,SV44: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV44 ) )
= $true )
| ( ( ! [SY2397: $i] :
( ~ ( eiw_di @ SY2397 @ SV44 )
| ! [SY2398: mworld] :
( ~ ( mrel @ SV44 @ SY2398 )
| ! [SY2277: $i] :
( ~ ( eiw_di @ SY2277 @ SY2398 )
| ! [SY2278: mworld] :
( ~ ( mrel @ SY2398 @ SY2278 )
| ~ ~ ( ~ ! [SY2279: mworld] :
( ~ ( mrel @ SY2278 @ SY2279 )
| ( qmltpeq @ SV28 @ SY2397 @ SY2279 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2278 @ SY2280 )
| ( member @ SY2277 @ SV28 @ SY2280 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2278 @ SX7 )
| ( member @ SY2277 @ SY2397 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(227,plain,
! [SV29: $i,SV45: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV45 ) )
= $true )
| ( ( ! [SY2404: $i] :
( ~ ( eiw_di @ SY2404 @ SV45 )
| ! [SY2405: mworld] :
( ~ ( mrel @ SV45 @ SY2405 )
| ! [SY2285: $i] :
( ~ ( eiw_di @ SY2285 @ SY2405 )
| ! [SY2286: mworld] :
( ~ ( mrel @ SY2405 @ SY2286 )
| ~ ~ ( ~ ! [SY2287: mworld] :
( ~ ( mrel @ SY2286 @ SY2287 )
| ( qmltpeq @ SV29 @ SY2404 @ SY2287 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY2286 @ SX7 )
| ( qmltpeq @ SY2404 @ SY2285 @ SX7 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2286 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2285 @ SY2289 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(228,plain,
! [SV30: $i,SV46: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV46 ) )
= $true )
| ( ( subset @ SV30 @ SV30 @ SV46 )
= $true )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(229,plain,
! [SV31: $i,SV47: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV47 ) )
= $true )
| ( ( ! [SY2411: $i] :
( ~ ( eiw_di @ SY2411 @ SV47 )
| ! [SY2412: mworld] :
( ~ ( mrel @ SV47 @ SY2412 )
| ! [SY2294: $i] :
( ~ ( eiw_di @ SY2294 @ SY2412 )
| ! [SY2295: mworld] :
( ~ ( mrel @ SY2412 @ SY2295 )
| ~ ~ ( ~ ! [SY2296: mworld] :
( ~ ( mrel @ SY2295 @ SY2296 )
| ( qmltpeq @ SV31 @ SY2411 @ SY2296 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2295 @ SY2297 )
| ( subset @ SY2294 @ SV31 @ SY2297 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2295 @ SX7 )
| ( subset @ SY2294 @ SY2411 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(230,plain,
! [SV32: $i,SV48: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV48 ) )
= $true )
| ( ( ! [SY2418: $i] :
( ~ ( eiw_di @ SY2418 @ SV48 )
| ! [SY2419: mworld] :
( ~ ( mrel @ SV48 @ SY2419 )
| ! [SY2302: $i] :
( ~ ( eiw_di @ SY2302 @ SY2419 )
| ! [SY2303: mworld] :
( ~ ( mrel @ SY2419 @ SY2303 )
| ~ ~ ( ~ ! [SY2304: mworld] :
( ~ ( mrel @ SY2303 @ SY2304 )
| ( qmltpeq @ SV32 @ SY2418 @ SY2304 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2303 @ SY2305 )
| ( member @ SV32 @ SY2302 @ SY2305 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2303 @ SX7 )
| ( member @ SY2418 @ SY2302 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(231,plain,
! [SV33: $i,SV49: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV49 ) )
= $true )
| ( ( ! [SY2425: $i] :
( ~ ( eiw_di @ SY2425 @ SV49 )
| ! [SY2426: mworld] :
( ~ ( mrel @ SV49 @ SY2426 )
| ! [SY2310: $i] :
( ~ ( eiw_di @ SY2310 @ SY2426 )
| ! [SY2311: mworld] :
( ~ ( mrel @ SY2426 @ SY2311 )
| ~ ~ ( ~ ! [SY2312: mworld] :
( ~ ( mrel @ SY2311 @ SY2312 )
| ( qmltpeq @ SV33 @ SY2425 @ SY2312 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2311 @ SY2313 )
| ( subset @ SV33 @ SY2310 @ SY2313 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2311 @ SX7 )
| ( subset @ SY2425 @ SY2310 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(232,plain,
! [SV34: $i,SV50: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ SV50 ) )
= $true )
| ( ( ! [SY2432: $i] :
( ~ ( eiw_di @ SY2432 @ SV50 )
| ~ ( ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV50 @ SY2433 )
| ~ ! [SY2318: mworld] :
( ~ ( mrel @ SY2433 @ SY2318 )
| ( subset @ SV34 @ SY2432 @ SY2318 ) )
| ! [SY2319: mworld] :
( ~ ( mrel @ SY2433 @ SY2319 )
| ! [SY2320: $i] :
( ~ ( eiw_di @ SY2320 @ SY2319 )
| ! [SY2321: mworld] :
( ~ ( mrel @ SY2319 @ SY2321 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2321 @ SY2322 )
| ( member @ SY2320 @ SV34 @ SY2322 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2321 @ SX8 )
| ( member @ SY2320 @ SY2432 @ SX8 ) ) ) ) ) )
| ~ ! [SY2440: mworld] :
( ~ ( mrel @ SV50 @ SY2440 )
| ~ ! [SY2325: mworld] :
( ~ ( mrel @ SY2440 @ SY2325 )
| ! [SY2326: $i] :
( ~ ( eiw_di @ SY2326 @ SY2325 )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2327 @ SY2328 )
| ( member @ SY2326 @ SV34 @ SY2328 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2327 @ SX8 )
| ( member @ SY2326 @ SY2432 @ SX8 ) ) ) ) )
| ! [SY2330: mworld] :
( ~ ( mrel @ SY2440 @ SY2330 )
| ( subset @ SV34 @ SY2432 @ SY2330 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(233,plain,
! [SV35: $i,SV51: mworld,SV17: mworld] :
( ( ( ~ ( mrel @ SV17 @ SV51 ) )
= $true )
| ( ( ! [SY2447: $i] :
( ~ ( eiw_di @ SY2447 @ SV51 )
| ! [SY2448: mworld] :
( ~ ( mrel @ SV51 @ SY2448 )
| ! [SY2334: $i] :
( ~ ( eiw_di @ SY2334 @ SY2448 )
| ! [SY2335: mworld] :
( ~ ( mrel @ SY2448 @ SY2335 )
| ~ ! [SY2336: mworld] :
( ~ ( mrel @ SY2335 @ SY2336 )
| ( qmltpeq @ SV35 @ SY2447 @ SY2336 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2335 @ SY2337 )
| ( qmltpeq @ ( union @ SV35 @ SY2334 ) @ ( union @ SY2447 @ SY2334 ) @ SY2337 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(234,plain,
! [SV36: $i,SV52: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV52 ) )
= $true )
| ( ( qmltpeq @ SV36 @ SV36 @ SV52 )
= $true )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(235,plain,
! [SV37: $i,SV53: mworld,SV19: mworld] :
( ( ( ~ ( mrel @ SV19 @ SV53 ) )
= $true )
| ( ( ! [SY2453: $i] :
( ~ ( eiw_di @ SY2453 @ SV53 )
| ! [SY2454: mworld] :
( ~ ( mrel @ SV53 @ SY2454 )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SY2454 @ SY2342 )
| ( qmltpeq @ SV37 @ SY2453 @ SY2342 ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SY2454 @ SY2343 )
| ( qmltpeq @ SY2453 @ SV37 @ SY2343 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(236,plain,
! [SV22: $i,SV38: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( ! [SY2344: $i] :
( ~ ( eiw_di @ SY2344 @ SV38 )
| ~ ( ~ ! [SY2345: mworld] :
( ~ ( mrel @ SV38 @ SY2345 )
| ~ ! [SY2218: mworld] :
( ~ ( mrel @ SY2345 @ SY2218 )
| ( qmltpeq @ SV22 @ SY2344 @ SY2218 ) )
| ! [SY2219: mworld] :
( ~ ( mrel @ SY2345 @ SY2219 )
| ! [SY2220: $i] :
( ~ ( eiw_di @ SY2220 @ SY2219 )
| ~ ( ~ ! [SY2221: mworld] :
( ~ ( mrel @ SY2219 @ SY2221 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2221 @ SY2222 )
| ( member @ SY2220 @ SV22 @ SY2222 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2221 @ SX8 )
| ( member @ SY2220 @ SY2344 @ SX8 ) ) )
| ~ ! [SY2224: mworld] :
( ~ ( mrel @ SY2219 @ SY2224 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2224 @ SX8 )
| ( member @ SY2220 @ SY2344 @ SX8 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2224 @ SY2226 )
| ( member @ SY2220 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2355: mworld] :
( ~ ( mrel @ SV38 @ SY2355 )
| ~ ! [SY2228: mworld] :
( ~ ( mrel @ SY2355 @ SY2228 )
| ! [SY2229: $i] :
( ~ ( eiw_di @ SY2229 @ SY2228 )
| ~ ( ~ ! [SY2230: mworld] :
( ~ ( mrel @ SY2228 @ SY2230 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2230 @ SY2231 )
| ( member @ SY2229 @ SV22 @ SY2231 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2230 @ SX8 )
| ( member @ SY2229 @ SY2344 @ SX8 ) ) )
| ~ ! [SY2233: mworld] :
( ~ ( mrel @ SY2228 @ SY2233 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SY2233 @ SX8 )
| ( member @ SY2229 @ SY2344 @ SX8 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2233 @ SY2235 )
| ( member @ SY2229 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2236: mworld] :
( ~ ( mrel @ SY2355 @ SY2236 )
| ( qmltpeq @ SV22 @ SY2344 @ SY2236 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(237,plain,
! [SV3: mworld,SV21: mworld,SV20: mworld] :
( ( ( mrel @ SV20 @ SV21 )
= $false )
| ( ( mrel @ SV3 @ SV20 )
= $false )
| ( ( mrel @ SV3 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(238,plain,
! [SV23: $i,SV39: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( ! [SY2365: $i] :
( ~ ( eiw_di @ SY2365 @ SV39 )
| ! [SY2366: mworld] :
( ~ ( mrel @ SV39 @ SY2366 )
| ! [SY2240: $i] :
( ~ ( eiw_di @ SY2240 @ SY2366 )
| ! [SY2241: mworld] :
( ~ ( mrel @ SY2366 @ SY2241 )
| ~ ! [SY2242: mworld] :
( ~ ( mrel @ SY2241 @ SY2242 )
| ( qmltpeq @ SV23 @ SY2365 @ SY2242 ) )
| ! [SY2243: mworld] :
( ~ ( mrel @ SY2241 @ SY2243 )
| ( qmltpeq @ ( union @ SY2240 @ SV23 ) @ ( union @ SY2240 @ SY2365 ) @ SY2243 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(239,plain,
! [SV24: $i,SV40: mworld,SV6: mworld] :
( ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( ! [SY2371: $i] :
( ~ ( eiw_di @ SY2371 @ SV40 )
| ! [SY2372: mworld] :
( ~ ( mrel @ SV40 @ SY2372 )
| ~ ! [SY2247: mworld] :
( ~ ( mrel @ SY2372 @ SY2247 )
| ( subset @ SV24 @ SY2371 @ SY2247 ) )
| ! [SY2248: mworld] :
( ~ ( mrel @ SY2372 @ SY2248 )
| ( qmltpeq @ ( union @ SV24 @ SY2371 ) @ SY2371 @ SY2248 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(240,plain,
! [SV25: $i,SV41: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( ! [SY2375: $i] :
( ~ ( eiw_di @ SY2375 @ SV41 )
| ! [SY2376: mworld] :
( ~ ( mrel @ SV41 @ SY2376 )
| ( qmltpeq @ ( union @ SV25 @ SY2375 ) @ ( union @ SY2375 @ SV25 ) @ SY2376 ) ) ) )
= $true )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(241,plain,
! [SV26: $i,SV42: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( ! [SY2377: $i] :
( ~ ( eiw_di @ SY2377 @ SV42 )
| ! [SY2378: mworld] :
( ~ ( mrel @ SV42 @ SY2378 )
| ! [SY2255: $i] :
( ~ ( eiw_di @ SY2255 @ SY2378 )
| ~ ( ~ ! [SY2256: mworld] :
( ~ ( mrel @ SY2378 @ SY2256 )
| ~ ! [SY2257: mworld] :
( ~ ( mrel @ SY2256 @ SY2257 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2377 ) @ SY2257 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2256 @ SY2258 )
| ( member @ SY2255 @ SV26 @ SY2258 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2256 @ SX7 )
| ( member @ SY2255 @ SY2377 @ SX7 ) ) )
| ~ ! [SY2260: mworld] :
( ~ ( mrel @ SY2378 @ SY2260 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2260 @ SY2261 )
| ( member @ SY2255 @ SV26 @ SY2261 ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2260 @ SX7 )
| ( member @ SY2255 @ SY2377 @ SX7 ) ) )
| ! [SY2263: mworld] :
( ~ ( mrel @ SY2260 @ SY2263 )
| ( member @ SY2255 @ ( union @ SV26 @ SY2377 ) @ SY2263 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(242,plain,
! [SV27: $i,SV43: mworld,SV9: mworld] :
( ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( ! [SY2388: $i] :
( ~ ( eiw_di @ SY2388 @ SV43 )
| ~ ( ~ ! [SY2389: mworld] :
( ~ ( mrel @ SV43 @ SY2389 )
| ~ ! [SY2267: mworld] :
( ~ ( mrel @ SY2389 @ SY2267 )
| ( qmltpeq @ SV27 @ SY2388 @ SY2267 ) )
| ~ ( ~ ! [SY2268: mworld] :
( ~ ( mrel @ SY2389 @ SY2268 )
| ( subset @ SV27 @ SY2388 @ SY2268 ) )
| ~ ! [SY2269: mworld] :
( ~ ( mrel @ SY2389 @ SY2269 )
| ( subset @ SY2388 @ SV27 @ SY2269 ) ) ) )
| ~ ! [SY2393: mworld] :
( ~ ( mrel @ SV43 @ SY2393 )
| ~ ~ ( ~ ! [SY2271: mworld] :
( ~ ( mrel @ SY2393 @ SY2271 )
| ( subset @ SV27 @ SY2388 @ SY2271 ) )
| ~ ! [SY2272: mworld] :
( ~ ( mrel @ SY2393 @ SY2272 )
| ( subset @ SY2388 @ SV27 @ SY2272 ) ) )
| ! [SY2273: mworld] :
( ~ ( mrel @ SY2393 @ SY2273 )
| ( qmltpeq @ SV27 @ SY2388 @ SY2273 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(243,plain,
! [SV28: $i,SV44: mworld,SV10: mworld] :
( ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( ! [SY2397: $i] :
( ~ ( eiw_di @ SY2397 @ SV44 )
| ! [SY2398: mworld] :
( ~ ( mrel @ SV44 @ SY2398 )
| ! [SY2277: $i] :
( ~ ( eiw_di @ SY2277 @ SY2398 )
| ! [SY2278: mworld] :
( ~ ( mrel @ SY2398 @ SY2278 )
| ~ ~ ( ~ ! [SY2279: mworld] :
( ~ ( mrel @ SY2278 @ SY2279 )
| ( qmltpeq @ SV28 @ SY2397 @ SY2279 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2278 @ SY2280 )
| ( member @ SY2277 @ SV28 @ SY2280 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2278 @ SX7 )
| ( member @ SY2277 @ SY2397 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(244,plain,
! [SV29: $i,SV45: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( ! [SY2404: $i] :
( ~ ( eiw_di @ SY2404 @ SV45 )
| ! [SY2405: mworld] :
( ~ ( mrel @ SV45 @ SY2405 )
| ! [SY2285: $i] :
( ~ ( eiw_di @ SY2285 @ SY2405 )
| ! [SY2286: mworld] :
( ~ ( mrel @ SY2405 @ SY2286 )
| ~ ~ ( ~ ! [SY2287: mworld] :
( ~ ( mrel @ SY2286 @ SY2287 )
| ( qmltpeq @ SV29 @ SY2404 @ SY2287 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY2286 @ SX7 )
| ( qmltpeq @ SY2404 @ SY2285 @ SX7 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2286 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2285 @ SY2289 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(245,plain,
! [SV30: $i,SV46: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV46 )
= $false )
| ( ( subset @ SV30 @ SV30 @ SV46 )
= $true )
| ( ( eiw_di @ SV30 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(246,plain,
! [SV31: $i,SV47: mworld,SV13: mworld] :
( ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( ! [SY2411: $i] :
( ~ ( eiw_di @ SY2411 @ SV47 )
| ! [SY2412: mworld] :
( ~ ( mrel @ SV47 @ SY2412 )
| ! [SY2294: $i] :
( ~ ( eiw_di @ SY2294 @ SY2412 )
| ! [SY2295: mworld] :
( ~ ( mrel @ SY2412 @ SY2295 )
| ~ ~ ( ~ ! [SY2296: mworld] :
( ~ ( mrel @ SY2295 @ SY2296 )
| ( qmltpeq @ SV31 @ SY2411 @ SY2296 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2295 @ SY2297 )
| ( subset @ SY2294 @ SV31 @ SY2297 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2295 @ SX7 )
| ( subset @ SY2294 @ SY2411 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(247,plain,
! [SV32: $i,SV48: mworld,SV14: mworld] :
( ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( ! [SY2418: $i] :
( ~ ( eiw_di @ SY2418 @ SV48 )
| ! [SY2419: mworld] :
( ~ ( mrel @ SV48 @ SY2419 )
| ! [SY2302: $i] :
( ~ ( eiw_di @ SY2302 @ SY2419 )
| ! [SY2303: mworld] :
( ~ ( mrel @ SY2419 @ SY2303 )
| ~ ~ ( ~ ! [SY2304: mworld] :
( ~ ( mrel @ SY2303 @ SY2304 )
| ( qmltpeq @ SV32 @ SY2418 @ SY2304 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2303 @ SY2305 )
| ( member @ SV32 @ SY2302 @ SY2305 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2303 @ SX7 )
| ( member @ SY2418 @ SY2302 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(248,plain,
! [SV33: $i,SV49: mworld,SV15: mworld] :
( ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( ! [SY2425: $i] :
( ~ ( eiw_di @ SY2425 @ SV49 )
| ! [SY2426: mworld] :
( ~ ( mrel @ SV49 @ SY2426 )
| ! [SY2310: $i] :
( ~ ( eiw_di @ SY2310 @ SY2426 )
| ! [SY2311: mworld] :
( ~ ( mrel @ SY2426 @ SY2311 )
| ~ ~ ( ~ ! [SY2312: mworld] :
( ~ ( mrel @ SY2311 @ SY2312 )
| ( qmltpeq @ SV33 @ SY2425 @ SY2312 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2311 @ SY2313 )
| ( subset @ SV33 @ SY2310 @ SY2313 ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY2311 @ SX7 )
| ( subset @ SY2425 @ SY2310 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(249,plain,
! [SV34: $i,SV50: mworld,SV16: mworld] :
( ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( ! [SY2432: $i] :
( ~ ( eiw_di @ SY2432 @ SV50 )
| ~ ( ~ ! [SY2433: mworld] :
( ~ ( mrel @ SV50 @ SY2433 )
| ~ ! [SY2318: mworld] :
( ~ ( mrel @ SY2433 @ SY2318 )
| ( subset @ SV34 @ SY2432 @ SY2318 ) )
| ! [SY2319: mworld] :
( ~ ( mrel @ SY2433 @ SY2319 )
| ! [SY2320: $i] :
( ~ ( eiw_di @ SY2320 @ SY2319 )
| ! [SY2321: mworld] :
( ~ ( mrel @ SY2319 @ SY2321 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2321 @ SY2322 )
| ( member @ SY2320 @ SV34 @ SY2322 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2321 @ SX8 )
| ( member @ SY2320 @ SY2432 @ SX8 ) ) ) ) ) )
| ~ ! [SY2440: mworld] :
( ~ ( mrel @ SV50 @ SY2440 )
| ~ ! [SY2325: mworld] :
( ~ ( mrel @ SY2440 @ SY2325 )
| ! [SY2326: $i] :
( ~ ( eiw_di @ SY2326 @ SY2325 )
| ! [SY2327: mworld] :
( ~ ( mrel @ SY2325 @ SY2327 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2327 @ SY2328 )
| ( member @ SY2326 @ SV34 @ SY2328 ) )
| ! [SX8: mworld] :
( ~ ( mrel @ SY2327 @ SX8 )
| ( member @ SY2326 @ SY2432 @ SX8 ) ) ) ) )
| ! [SY2330: mworld] :
( ~ ( mrel @ SY2440 @ SY2330 )
| ( subset @ SV34 @ SY2432 @ SY2330 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(250,plain,
! [SV35: $i,SV51: mworld,SV17: mworld] :
( ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( ! [SY2447: $i] :
( ~ ( eiw_di @ SY2447 @ SV51 )
| ! [SY2448: mworld] :
( ~ ( mrel @ SV51 @ SY2448 )
| ! [SY2334: $i] :
( ~ ( eiw_di @ SY2334 @ SY2448 )
| ! [SY2335: mworld] :
( ~ ( mrel @ SY2448 @ SY2335 )
| ~ ! [SY2336: mworld] :
( ~ ( mrel @ SY2335 @ SY2336 )
| ( qmltpeq @ SV35 @ SY2447 @ SY2336 ) )
| ! [SY2337: mworld] :
( ~ ( mrel @ SY2335 @ SY2337 )
| ( qmltpeq @ ( union @ SV35 @ SY2334 ) @ ( union @ SY2447 @ SY2334 ) @ SY2337 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(251,plain,
! [SV36: $i,SV52: mworld,SV18: mworld] :
( ( ( mrel @ SV18 @ SV52 )
= $false )
| ( ( qmltpeq @ SV36 @ SV36 @ SV52 )
= $true )
| ( ( eiw_di @ SV36 @ SV18 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(252,plain,
! [SV37: $i,SV53: mworld,SV19: mworld] :
( ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( ! [SY2453: $i] :
( ~ ( eiw_di @ SY2453 @ SV53 )
| ! [SY2454: mworld] :
( ~ ( mrel @ SV53 @ SY2454 )
| ~ ! [SY2342: mworld] :
( ~ ( mrel @ SY2454 @ SY2342 )
| ( qmltpeq @ SV37 @ SY2453 @ SY2342 ) )
| ! [SY2343: mworld] :
( ~ ( mrel @ SY2454 @ SY2343 )
| ( qmltpeq @ SY2453 @ SV37 @ SY2343 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(253,plain,
! [SV2: mworld,SV22: $i,SV38: mworld,SV54: $i] :
( ( ( ~ ( eiw_di @ SV54 @ SV38 )
| ~ ( ~ ! [SY2457: mworld] :
( ~ ( mrel @ SV38 @ SY2457 )
| ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2457 @ SY2458 )
| ( qmltpeq @ SV22 @ SV54 @ SY2458 ) )
| ! [SY2459: mworld] :
( ~ ( mrel @ SY2457 @ SY2459 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2459 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2459 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2459 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2467: mworld] :
( ~ ( mrel @ SV38 @ SY2467 )
| ~ ! [SY2468: mworld] :
( ~ ( mrel @ SY2467 @ SY2468 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2468 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2468 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2468 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2476: mworld] :
( ~ ( mrel @ SY2467 @ SY2476 )
| ( qmltpeq @ SV22 @ SV54 @ SY2476 ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(254,plain,
! [SV4: mworld,SV23: $i,SV39: mworld,SV55: $i] :
( ( ( ~ ( eiw_di @ SV55 @ SV39 )
| ! [SY2477: mworld] :
( ~ ( mrel @ SV39 @ SY2477 )
| ! [SY2478: $i] :
( ~ ( eiw_di @ SY2478 @ SY2477 )
| ! [SY2479: mworld] :
( ~ ( mrel @ SY2477 @ SY2479 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2479 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2481: mworld] :
( ~ ( mrel @ SY2479 @ SY2481 )
| ( qmltpeq @ ( union @ SY2478 @ SV23 ) @ ( union @ SY2478 @ SV55 ) @ SY2481 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(255,plain,
! [SV6: mworld,SV24: $i,SV40: mworld,SV56: $i] :
( ( ( ~ ( eiw_di @ SV56 @ SV40 )
| ! [SY2482: mworld] :
( ~ ( mrel @ SV40 @ SY2482 )
| ~ ! [SY2483: mworld] :
( ~ ( mrel @ SY2482 @ SY2483 )
| ( subset @ SV24 @ SV56 @ SY2483 ) )
| ! [SY2484: mworld] :
( ~ ( mrel @ SY2482 @ SY2484 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2484 ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(256,plain,
! [SV7: mworld,SV25: $i,SV41: mworld,SV57: $i] :
( ( ( ~ ( eiw_di @ SV57 @ SV41 )
| ! [SY2485: mworld] :
( ~ ( mrel @ SV41 @ SY2485 )
| ( qmltpeq @ ( union @ SV25 @ SV57 ) @ ( union @ SV57 @ SV25 ) @ SY2485 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(257,plain,
! [SV8: mworld,SV26: $i,SV42: mworld,SV58: $i] :
( ( ( ~ ( eiw_di @ SV58 @ SV42 )
| ! [SY2486: mworld] :
( ~ ( mrel @ SV42 @ SY2486 )
| ! [SY2487: $i] :
( ~ ( eiw_di @ SY2487 @ SY2486 )
| ~ ( ~ ! [SY2488: mworld] :
( ~ ( mrel @ SY2486 @ SY2488 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2488 @ SY2489 )
| ( member @ SY2487 @ ( union @ SV26 @ SV58 ) @ SY2489 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2488 @ SY2258 )
| ( member @ SY2487 @ SV26 @ SY2258 ) )
| ! [SY2491: mworld] :
( ~ ( mrel @ SY2488 @ SY2491 )
| ( member @ SY2487 @ SV58 @ SY2491 ) ) )
| ~ ! [SY2492: mworld] :
( ~ ( mrel @ SY2486 @ SY2492 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2492 @ SY2261 )
| ( member @ SY2487 @ SV26 @ SY2261 ) )
| ! [SY2494: mworld] :
( ~ ( mrel @ SY2492 @ SY2494 )
| ( member @ SY2487 @ SV58 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2492 @ SY2495 )
| ( member @ SY2487 @ ( union @ SV26 @ SV58 ) @ SY2495 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(258,plain,
! [SV9: mworld,SV27: $i,SV43: mworld,SV59: $i] :
( ( ( ~ ( eiw_di @ SV59 @ SV43 )
| ~ ( ~ ! [SY2496: mworld] :
( ~ ( mrel @ SV43 @ SY2496 )
| ~ ! [SY2497: mworld] :
( ~ ( mrel @ SY2496 @ SY2497 )
| ( qmltpeq @ SV27 @ SV59 @ SY2497 ) )
| ~ ( ~ ! [SY2498: mworld] :
( ~ ( mrel @ SY2496 @ SY2498 )
| ( subset @ SV27 @ SV59 @ SY2498 ) )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2496 @ SY2499 )
| ( subset @ SV59 @ SV27 @ SY2499 ) ) ) )
| ~ ! [SY2500: mworld] :
( ~ ( mrel @ SV43 @ SY2500 )
| ~ ~ ( ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2500 @ SY2501 )
| ( subset @ SV27 @ SV59 @ SY2501 ) )
| ~ ! [SY2502: mworld] :
( ~ ( mrel @ SY2500 @ SY2502 )
| ( subset @ SV59 @ SV27 @ SY2502 ) ) )
| ! [SY2503: mworld] :
( ~ ( mrel @ SY2500 @ SY2503 )
| ( qmltpeq @ SV27 @ SV59 @ SY2503 ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(259,plain,
! [SV10: mworld,SV28: $i,SV44: mworld,SV60: $i] :
( ( ( ~ ( eiw_di @ SV60 @ SV44 )
| ! [SY2504: mworld] :
( ~ ( mrel @ SV44 @ SY2504 )
| ! [SY2505: $i] :
( ~ ( eiw_di @ SY2505 @ SY2504 )
| ! [SY2506: mworld] :
( ~ ( mrel @ SY2504 @ SY2506 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2506 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2506 @ SY2280 )
| ( member @ SY2505 @ SV28 @ SY2280 ) ) )
| ! [SY2509: mworld] :
( ~ ( mrel @ SY2506 @ SY2509 )
| ( member @ SY2505 @ SV60 @ SY2509 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(260,plain,
! [SV11: mworld,SV29: $i,SV45: mworld,SV61: $i] :
( ( ( ~ ( eiw_di @ SV61 @ SV45 )
| ! [SY2510: mworld] :
( ~ ( mrel @ SV45 @ SY2510 )
| ! [SY2511: $i] :
( ~ ( eiw_di @ SY2511 @ SY2510 )
| ! [SY2512: mworld] :
( ~ ( mrel @ SY2510 @ SY2512 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2512 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2514: mworld] :
( ~ ( mrel @ SY2512 @ SY2514 )
| ( qmltpeq @ SV61 @ SY2511 @ SY2514 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2512 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2511 @ SY2289 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(261,plain,
! [SV13: mworld,SV31: $i,SV47: mworld,SV62: $i] :
( ( ( ~ ( eiw_di @ SV62 @ SV47 )
| ! [SY2516: mworld] :
( ~ ( mrel @ SV47 @ SY2516 )
| ! [SY2517: $i] :
( ~ ( eiw_di @ SY2517 @ SY2516 )
| ! [SY2518: mworld] :
( ~ ( mrel @ SY2516 @ SY2518 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2518 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2518 @ SY2297 )
| ( subset @ SY2517 @ SV31 @ SY2297 ) ) )
| ! [SY2521: mworld] :
( ~ ( mrel @ SY2518 @ SY2521 )
| ( subset @ SY2517 @ SV62 @ SY2521 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(262,plain,
! [SV14: mworld,SV32: $i,SV48: mworld,SV63: $i] :
( ( ( ~ ( eiw_di @ SV63 @ SV48 )
| ! [SY2522: mworld] :
( ~ ( mrel @ SV48 @ SY2522 )
| ! [SY2523: $i] :
( ~ ( eiw_di @ SY2523 @ SY2522 )
| ! [SY2524: mworld] :
( ~ ( mrel @ SY2522 @ SY2524 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2524 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2524 @ SY2305 )
| ( member @ SV32 @ SY2523 @ SY2305 ) ) )
| ! [SY2527: mworld] :
( ~ ( mrel @ SY2524 @ SY2527 )
| ( member @ SV63 @ SY2523 @ SY2527 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(263,plain,
! [SV15: mworld,SV33: $i,SV49: mworld,SV64: $i] :
( ( ( ~ ( eiw_di @ SV64 @ SV49 )
| ! [SY2528: mworld] :
( ~ ( mrel @ SV49 @ SY2528 )
| ! [SY2529: $i] :
( ~ ( eiw_di @ SY2529 @ SY2528 )
| ! [SY2530: mworld] :
( ~ ( mrel @ SY2528 @ SY2530 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2530 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2530 @ SY2313 )
| ( subset @ SV33 @ SY2529 @ SY2313 ) ) )
| ! [SY2533: mworld] :
( ~ ( mrel @ SY2530 @ SY2533 )
| ( subset @ SV64 @ SY2529 @ SY2533 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(264,plain,
! [SV16: mworld,SV34: $i,SV50: mworld,SV65: $i] :
( ( ( ~ ( eiw_di @ SV65 @ SV50 )
| ~ ( ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV50 @ SY2534 )
| ~ ! [SY2535: mworld] :
( ~ ( mrel @ SY2534 @ SY2535 )
| ( subset @ SV34 @ SV65 @ SY2535 ) )
| ! [SY2536: mworld] :
( ~ ( mrel @ SY2534 @ SY2536 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2536 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2536 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
| ~ ! [SY2541: mworld] :
( ~ ( mrel @ SV50 @ SY2541 )
| ~ ! [SY2542: mworld] :
( ~ ( mrel @ SY2541 @ SY2542 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2542 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2542 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2547: mworld] :
( ~ ( mrel @ SY2541 @ SY2547 )
| ( subset @ SV34 @ SV65 @ SY2547 ) ) ) ) )
= $true )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(265,plain,
! [SV17: mworld,SV35: $i,SV51: mworld,SV66: $i] :
( ( ( ~ ( eiw_di @ SV66 @ SV51 )
| ! [SY2548: mworld] :
( ~ ( mrel @ SV51 @ SY2548 )
| ! [SY2549: $i] :
( ~ ( eiw_di @ SY2549 @ SY2548 )
| ! [SY2550: mworld] :
( ~ ( mrel @ SY2548 @ SY2550 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2550 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2552: mworld] :
( ~ ( mrel @ SY2550 @ SY2552 )
| ( qmltpeq @ ( union @ SV35 @ SY2549 ) @ ( union @ SV66 @ SY2549 ) @ SY2552 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(266,plain,
! [SV19: mworld,SV37: $i,SV53: mworld,SV67: $i] :
( ( ( ~ ( eiw_di @ SV67 @ SV53 )
| ! [SY2553: mworld] :
( ~ ( mrel @ SV53 @ SY2553 )
| ~ ! [SY2554: mworld] :
( ~ ( mrel @ SY2553 @ SY2554 )
| ( qmltpeq @ SV37 @ SV67 @ SY2554 ) )
| ! [SY2555: mworld] :
( ~ ( mrel @ SY2553 @ SY2555 )
| ( qmltpeq @ SV67 @ SV37 @ SY2555 ) ) ) )
= $true )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(267,plain,
! [SV2: mworld,SV22: $i,SV38: mworld,SV54: $i] :
( ( ( ~ ( eiw_di @ SV54 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ! [SY2457: mworld] :
( ~ ( mrel @ SV38 @ SY2457 )
| ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2457 @ SY2458 )
| ( qmltpeq @ SV22 @ SV54 @ SY2458 ) )
| ! [SY2459: mworld] :
( ~ ( mrel @ SY2457 @ SY2459 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2459 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2459 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2459 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2467: mworld] :
( ~ ( mrel @ SV38 @ SY2467 )
| ~ ! [SY2468: mworld] :
( ~ ( mrel @ SY2467 @ SY2468 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2468 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2468 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2468 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2476: mworld] :
( ~ ( mrel @ SY2467 @ SY2476 )
| ( qmltpeq @ SV22 @ SV54 @ SY2476 ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(268,plain,
! [SV4: mworld,SV23: $i,SV39: mworld,SV55: $i] :
( ( ( ~ ( eiw_di @ SV55 @ SV39 ) )
= $true )
| ( ( ! [SY2477: mworld] :
( ~ ( mrel @ SV39 @ SY2477 )
| ! [SY2478: $i] :
( ~ ( eiw_di @ SY2478 @ SY2477 )
| ! [SY2479: mworld] :
( ~ ( mrel @ SY2477 @ SY2479 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2479 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2481: mworld] :
( ~ ( mrel @ SY2479 @ SY2481 )
| ( qmltpeq @ ( union @ SY2478 @ SV23 ) @ ( union @ SY2478 @ SV55 ) @ SY2481 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(269,plain,
! [SV6: mworld,SV24: $i,SV40: mworld,SV56: $i] :
( ( ( ~ ( eiw_di @ SV56 @ SV40 ) )
= $true )
| ( ( ! [SY2482: mworld] :
( ~ ( mrel @ SV40 @ SY2482 )
| ~ ! [SY2483: mworld] :
( ~ ( mrel @ SY2482 @ SY2483 )
| ( subset @ SV24 @ SV56 @ SY2483 ) )
| ! [SY2484: mworld] :
( ~ ( mrel @ SY2482 @ SY2484 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2484 ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(270,plain,
! [SV7: mworld,SV25: $i,SV41: mworld,SV57: $i] :
( ( ( ~ ( eiw_di @ SV57 @ SV41 ) )
= $true )
| ( ( ! [SY2485: mworld] :
( ~ ( mrel @ SV41 @ SY2485 )
| ( qmltpeq @ ( union @ SV25 @ SV57 ) @ ( union @ SV57 @ SV25 ) @ SY2485 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(271,plain,
! [SV8: mworld,SV26: $i,SV42: mworld,SV58: $i] :
( ( ( ~ ( eiw_di @ SV58 @ SV42 ) )
= $true )
| ( ( ! [SY2486: mworld] :
( ~ ( mrel @ SV42 @ SY2486 )
| ! [SY2487: $i] :
( ~ ( eiw_di @ SY2487 @ SY2486 )
| ~ ( ~ ! [SY2488: mworld] :
( ~ ( mrel @ SY2486 @ SY2488 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2488 @ SY2489 )
| ( member @ SY2487 @ ( union @ SV26 @ SV58 ) @ SY2489 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2488 @ SY2258 )
| ( member @ SY2487 @ SV26 @ SY2258 ) )
| ! [SY2491: mworld] :
( ~ ( mrel @ SY2488 @ SY2491 )
| ( member @ SY2487 @ SV58 @ SY2491 ) ) )
| ~ ! [SY2492: mworld] :
( ~ ( mrel @ SY2486 @ SY2492 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2492 @ SY2261 )
| ( member @ SY2487 @ SV26 @ SY2261 ) )
| ! [SY2494: mworld] :
( ~ ( mrel @ SY2492 @ SY2494 )
| ( member @ SY2487 @ SV58 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2492 @ SY2495 )
| ( member @ SY2487 @ ( union @ SV26 @ SV58 ) @ SY2495 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(272,plain,
! [SV9: mworld,SV27: $i,SV43: mworld,SV59: $i] :
( ( ( ~ ( eiw_di @ SV59 @ SV43 ) )
= $true )
| ( ( ~ ( ~ ! [SY2496: mworld] :
( ~ ( mrel @ SV43 @ SY2496 )
| ~ ! [SY2497: mworld] :
( ~ ( mrel @ SY2496 @ SY2497 )
| ( qmltpeq @ SV27 @ SV59 @ SY2497 ) )
| ~ ( ~ ! [SY2498: mworld] :
( ~ ( mrel @ SY2496 @ SY2498 )
| ( subset @ SV27 @ SV59 @ SY2498 ) )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2496 @ SY2499 )
| ( subset @ SV59 @ SV27 @ SY2499 ) ) ) )
| ~ ! [SY2500: mworld] :
( ~ ( mrel @ SV43 @ SY2500 )
| ~ ~ ( ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2500 @ SY2501 )
| ( subset @ SV27 @ SV59 @ SY2501 ) )
| ~ ! [SY2502: mworld] :
( ~ ( mrel @ SY2500 @ SY2502 )
| ( subset @ SV59 @ SV27 @ SY2502 ) ) )
| ! [SY2503: mworld] :
( ~ ( mrel @ SY2500 @ SY2503 )
| ( qmltpeq @ SV27 @ SV59 @ SY2503 ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(273,plain,
! [SV10: mworld,SV28: $i,SV44: mworld,SV60: $i] :
( ( ( ~ ( eiw_di @ SV60 @ SV44 ) )
= $true )
| ( ( ! [SY2504: mworld] :
( ~ ( mrel @ SV44 @ SY2504 )
| ! [SY2505: $i] :
( ~ ( eiw_di @ SY2505 @ SY2504 )
| ! [SY2506: mworld] :
( ~ ( mrel @ SY2504 @ SY2506 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2506 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2506 @ SY2280 )
| ( member @ SY2505 @ SV28 @ SY2280 ) ) )
| ! [SY2509: mworld] :
( ~ ( mrel @ SY2506 @ SY2509 )
| ( member @ SY2505 @ SV60 @ SY2509 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(274,plain,
! [SV11: mworld,SV29: $i,SV45: mworld,SV61: $i] :
( ( ( ~ ( eiw_di @ SV61 @ SV45 ) )
= $true )
| ( ( ! [SY2510: mworld] :
( ~ ( mrel @ SV45 @ SY2510 )
| ! [SY2511: $i] :
( ~ ( eiw_di @ SY2511 @ SY2510 )
| ! [SY2512: mworld] :
( ~ ( mrel @ SY2510 @ SY2512 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2512 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2514: mworld] :
( ~ ( mrel @ SY2512 @ SY2514 )
| ( qmltpeq @ SV61 @ SY2511 @ SY2514 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2512 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2511 @ SY2289 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(275,plain,
! [SV13: mworld,SV31: $i,SV47: mworld,SV62: $i] :
( ( ( ~ ( eiw_di @ SV62 @ SV47 ) )
= $true )
| ( ( ! [SY2516: mworld] :
( ~ ( mrel @ SV47 @ SY2516 )
| ! [SY2517: $i] :
( ~ ( eiw_di @ SY2517 @ SY2516 )
| ! [SY2518: mworld] :
( ~ ( mrel @ SY2516 @ SY2518 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2518 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2518 @ SY2297 )
| ( subset @ SY2517 @ SV31 @ SY2297 ) ) )
| ! [SY2521: mworld] :
( ~ ( mrel @ SY2518 @ SY2521 )
| ( subset @ SY2517 @ SV62 @ SY2521 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(276,plain,
! [SV14: mworld,SV32: $i,SV48: mworld,SV63: $i] :
( ( ( ~ ( eiw_di @ SV63 @ SV48 ) )
= $true )
| ( ( ! [SY2522: mworld] :
( ~ ( mrel @ SV48 @ SY2522 )
| ! [SY2523: $i] :
( ~ ( eiw_di @ SY2523 @ SY2522 )
| ! [SY2524: mworld] :
( ~ ( mrel @ SY2522 @ SY2524 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2524 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2524 @ SY2305 )
| ( member @ SV32 @ SY2523 @ SY2305 ) ) )
| ! [SY2527: mworld] :
( ~ ( mrel @ SY2524 @ SY2527 )
| ( member @ SV63 @ SY2523 @ SY2527 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(277,plain,
! [SV15: mworld,SV33: $i,SV49: mworld,SV64: $i] :
( ( ( ~ ( eiw_di @ SV64 @ SV49 ) )
= $true )
| ( ( ! [SY2528: mworld] :
( ~ ( mrel @ SV49 @ SY2528 )
| ! [SY2529: $i] :
( ~ ( eiw_di @ SY2529 @ SY2528 )
| ! [SY2530: mworld] :
( ~ ( mrel @ SY2528 @ SY2530 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2530 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2530 @ SY2313 )
| ( subset @ SV33 @ SY2529 @ SY2313 ) ) )
| ! [SY2533: mworld] :
( ~ ( mrel @ SY2530 @ SY2533 )
| ( subset @ SV64 @ SY2529 @ SY2533 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(278,plain,
! [SV16: mworld,SV34: $i,SV50: mworld,SV65: $i] :
( ( ( ~ ( eiw_di @ SV65 @ SV50 ) )
= $true )
| ( ( ~ ( ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV50 @ SY2534 )
| ~ ! [SY2535: mworld] :
( ~ ( mrel @ SY2534 @ SY2535 )
| ( subset @ SV34 @ SV65 @ SY2535 ) )
| ! [SY2536: mworld] :
( ~ ( mrel @ SY2534 @ SY2536 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2536 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2536 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
| ~ ! [SY2541: mworld] :
( ~ ( mrel @ SV50 @ SY2541 )
| ~ ! [SY2542: mworld] :
( ~ ( mrel @ SY2541 @ SY2542 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2542 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2542 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2547: mworld] :
( ~ ( mrel @ SY2541 @ SY2547 )
| ( subset @ SV34 @ SV65 @ SY2547 ) ) ) ) )
= $true )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(279,plain,
! [SV17: mworld,SV35: $i,SV51: mworld,SV66: $i] :
( ( ( ~ ( eiw_di @ SV66 @ SV51 ) )
= $true )
| ( ( ! [SY2548: mworld] :
( ~ ( mrel @ SV51 @ SY2548 )
| ! [SY2549: $i] :
( ~ ( eiw_di @ SY2549 @ SY2548 )
| ! [SY2550: mworld] :
( ~ ( mrel @ SY2548 @ SY2550 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2550 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2552: mworld] :
( ~ ( mrel @ SY2550 @ SY2552 )
| ( qmltpeq @ ( union @ SV35 @ SY2549 ) @ ( union @ SV66 @ SY2549 ) @ SY2552 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(280,plain,
! [SV19: mworld,SV37: $i,SV53: mworld,SV67: $i] :
( ( ( ~ ( eiw_di @ SV67 @ SV53 ) )
= $true )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV53 @ SY2553 )
| ~ ! [SY2554: mworld] :
( ~ ( mrel @ SY2553 @ SY2554 )
| ( qmltpeq @ SV37 @ SV67 @ SY2554 ) )
| ! [SY2555: mworld] :
( ~ ( mrel @ SY2553 @ SY2555 )
| ( qmltpeq @ SV67 @ SV37 @ SY2555 ) ) ) )
= $true )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(281,plain,
! [SV2: mworld,SV22: $i,SV38: mworld,SV54: $i] :
( ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( ~ ( ~ ! [SY2457: mworld] :
( ~ ( mrel @ SV38 @ SY2457 )
| ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2457 @ SY2458 )
| ( qmltpeq @ SV22 @ SV54 @ SY2458 ) )
| ! [SY2459: mworld] :
( ~ ( mrel @ SY2457 @ SY2459 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2459 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2459 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2459 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2467: mworld] :
( ~ ( mrel @ SV38 @ SY2467 )
| ~ ! [SY2468: mworld] :
( ~ ( mrel @ SY2467 @ SY2468 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2468 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2468 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2468 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2476: mworld] :
( ~ ( mrel @ SY2467 @ SY2476 )
| ( qmltpeq @ SV22 @ SV54 @ SY2476 ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(282,plain,
! [SV4: mworld,SV23: $i,SV39: mworld,SV55: $i] :
( ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( ! [SY2477: mworld] :
( ~ ( mrel @ SV39 @ SY2477 )
| ! [SY2478: $i] :
( ~ ( eiw_di @ SY2478 @ SY2477 )
| ! [SY2479: mworld] :
( ~ ( mrel @ SY2477 @ SY2479 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2479 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2481: mworld] :
( ~ ( mrel @ SY2479 @ SY2481 )
| ( qmltpeq @ ( union @ SY2478 @ SV23 ) @ ( union @ SY2478 @ SV55 ) @ SY2481 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(283,plain,
! [SV6: mworld,SV24: $i,SV40: mworld,SV56: $i] :
( ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( ! [SY2482: mworld] :
( ~ ( mrel @ SV40 @ SY2482 )
| ~ ! [SY2483: mworld] :
( ~ ( mrel @ SY2482 @ SY2483 )
| ( subset @ SV24 @ SV56 @ SY2483 ) )
| ! [SY2484: mworld] :
( ~ ( mrel @ SY2482 @ SY2484 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2484 ) ) ) )
= $true )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(284,plain,
! [SV7: mworld,SV25: $i,SV41: mworld,SV57: $i] :
( ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( ! [SY2485: mworld] :
( ~ ( mrel @ SV41 @ SY2485 )
| ( qmltpeq @ ( union @ SV25 @ SV57 ) @ ( union @ SV57 @ SV25 ) @ SY2485 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(285,plain,
! [SV8: mworld,SV26: $i,SV42: mworld,SV58: $i] :
( ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( ! [SY2486: mworld] :
( ~ ( mrel @ SV42 @ SY2486 )
| ! [SY2487: $i] :
( ~ ( eiw_di @ SY2487 @ SY2486 )
| ~ ( ~ ! [SY2488: mworld] :
( ~ ( mrel @ SY2486 @ SY2488 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2488 @ SY2489 )
| ( member @ SY2487 @ ( union @ SV26 @ SV58 ) @ SY2489 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2488 @ SY2258 )
| ( member @ SY2487 @ SV26 @ SY2258 ) )
| ! [SY2491: mworld] :
( ~ ( mrel @ SY2488 @ SY2491 )
| ( member @ SY2487 @ SV58 @ SY2491 ) ) )
| ~ ! [SY2492: mworld] :
( ~ ( mrel @ SY2486 @ SY2492 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2492 @ SY2261 )
| ( member @ SY2487 @ SV26 @ SY2261 ) )
| ! [SY2494: mworld] :
( ~ ( mrel @ SY2492 @ SY2494 )
| ( member @ SY2487 @ SV58 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2492 @ SY2495 )
| ( member @ SY2487 @ ( union @ SV26 @ SV58 ) @ SY2495 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(286,plain,
! [SV9: mworld,SV27: $i,SV43: mworld,SV59: $i] :
( ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( ~ ( ~ ! [SY2496: mworld] :
( ~ ( mrel @ SV43 @ SY2496 )
| ~ ! [SY2497: mworld] :
( ~ ( mrel @ SY2496 @ SY2497 )
| ( qmltpeq @ SV27 @ SV59 @ SY2497 ) )
| ~ ( ~ ! [SY2498: mworld] :
( ~ ( mrel @ SY2496 @ SY2498 )
| ( subset @ SV27 @ SV59 @ SY2498 ) )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2496 @ SY2499 )
| ( subset @ SV59 @ SV27 @ SY2499 ) ) ) )
| ~ ! [SY2500: mworld] :
( ~ ( mrel @ SV43 @ SY2500 )
| ~ ~ ( ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2500 @ SY2501 )
| ( subset @ SV27 @ SV59 @ SY2501 ) )
| ~ ! [SY2502: mworld] :
( ~ ( mrel @ SY2500 @ SY2502 )
| ( subset @ SV59 @ SV27 @ SY2502 ) ) )
| ! [SY2503: mworld] :
( ~ ( mrel @ SY2500 @ SY2503 )
| ( qmltpeq @ SV27 @ SV59 @ SY2503 ) ) ) ) )
= $true )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(287,plain,
! [SV10: mworld,SV28: $i,SV44: mworld,SV60: $i] :
( ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( ! [SY2504: mworld] :
( ~ ( mrel @ SV44 @ SY2504 )
| ! [SY2505: $i] :
( ~ ( eiw_di @ SY2505 @ SY2504 )
| ! [SY2506: mworld] :
( ~ ( mrel @ SY2504 @ SY2506 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2506 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2506 @ SY2280 )
| ( member @ SY2505 @ SV28 @ SY2280 ) ) )
| ! [SY2509: mworld] :
( ~ ( mrel @ SY2506 @ SY2509 )
| ( member @ SY2505 @ SV60 @ SY2509 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(288,plain,
! [SV11: mworld,SV29: $i,SV45: mworld,SV61: $i] :
( ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( ! [SY2510: mworld] :
( ~ ( mrel @ SV45 @ SY2510 )
| ! [SY2511: $i] :
( ~ ( eiw_di @ SY2511 @ SY2510 )
| ! [SY2512: mworld] :
( ~ ( mrel @ SY2510 @ SY2512 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2512 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2514: mworld] :
( ~ ( mrel @ SY2512 @ SY2514 )
| ( qmltpeq @ SV61 @ SY2511 @ SY2514 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2512 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2511 @ SY2289 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(289,plain,
! [SV13: mworld,SV31: $i,SV47: mworld,SV62: $i] :
( ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( ! [SY2516: mworld] :
( ~ ( mrel @ SV47 @ SY2516 )
| ! [SY2517: $i] :
( ~ ( eiw_di @ SY2517 @ SY2516 )
| ! [SY2518: mworld] :
( ~ ( mrel @ SY2516 @ SY2518 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2518 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2518 @ SY2297 )
| ( subset @ SY2517 @ SV31 @ SY2297 ) ) )
| ! [SY2521: mworld] :
( ~ ( mrel @ SY2518 @ SY2521 )
| ( subset @ SY2517 @ SV62 @ SY2521 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(290,plain,
! [SV14: mworld,SV32: $i,SV48: mworld,SV63: $i] :
( ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( ! [SY2522: mworld] :
( ~ ( mrel @ SV48 @ SY2522 )
| ! [SY2523: $i] :
( ~ ( eiw_di @ SY2523 @ SY2522 )
| ! [SY2524: mworld] :
( ~ ( mrel @ SY2522 @ SY2524 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2524 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2524 @ SY2305 )
| ( member @ SV32 @ SY2523 @ SY2305 ) ) )
| ! [SY2527: mworld] :
( ~ ( mrel @ SY2524 @ SY2527 )
| ( member @ SV63 @ SY2523 @ SY2527 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(291,plain,
! [SV15: mworld,SV33: $i,SV49: mworld,SV64: $i] :
( ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( ! [SY2528: mworld] :
( ~ ( mrel @ SV49 @ SY2528 )
| ! [SY2529: $i] :
( ~ ( eiw_di @ SY2529 @ SY2528 )
| ! [SY2530: mworld] :
( ~ ( mrel @ SY2528 @ SY2530 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2530 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2530 @ SY2313 )
| ( subset @ SV33 @ SY2529 @ SY2313 ) ) )
| ! [SY2533: mworld] :
( ~ ( mrel @ SY2530 @ SY2533 )
| ( subset @ SV64 @ SY2529 @ SY2533 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(292,plain,
! [SV16: mworld,SV34: $i,SV50: mworld,SV65: $i] :
( ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( ~ ( ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV50 @ SY2534 )
| ~ ! [SY2535: mworld] :
( ~ ( mrel @ SY2534 @ SY2535 )
| ( subset @ SV34 @ SV65 @ SY2535 ) )
| ! [SY2536: mworld] :
( ~ ( mrel @ SY2534 @ SY2536 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2536 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2536 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
| ~ ! [SY2541: mworld] :
( ~ ( mrel @ SV50 @ SY2541 )
| ~ ! [SY2542: mworld] :
( ~ ( mrel @ SY2541 @ SY2542 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2542 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2542 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2547: mworld] :
( ~ ( mrel @ SY2541 @ SY2547 )
| ( subset @ SV34 @ SV65 @ SY2547 ) ) ) ) )
= $true )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(293,plain,
! [SV17: mworld,SV35: $i,SV51: mworld,SV66: $i] :
( ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( ! [SY2548: mworld] :
( ~ ( mrel @ SV51 @ SY2548 )
| ! [SY2549: $i] :
( ~ ( eiw_di @ SY2549 @ SY2548 )
| ! [SY2550: mworld] :
( ~ ( mrel @ SY2548 @ SY2550 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2550 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2552: mworld] :
( ~ ( mrel @ SY2550 @ SY2552 )
| ( qmltpeq @ ( union @ SV35 @ SY2549 ) @ ( union @ SV66 @ SY2549 ) @ SY2552 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(294,plain,
! [SV19: mworld,SV37: $i,SV53: mworld,SV67: $i] :
( ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( ! [SY2553: mworld] :
( ~ ( mrel @ SV53 @ SY2553 )
| ~ ! [SY2554: mworld] :
( ~ ( mrel @ SY2553 @ SY2554 )
| ( qmltpeq @ SV37 @ SV67 @ SY2554 ) )
| ! [SY2555: mworld] :
( ~ ( mrel @ SY2553 @ SY2555 )
| ( qmltpeq @ SV67 @ SV37 @ SY2555 ) ) ) )
= $true )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(295,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ~ ! [SY2457: mworld] :
( ~ ( mrel @ SV38 @ SY2457 )
| ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2457 @ SY2458 )
| ( qmltpeq @ SV22 @ SV54 @ SY2458 ) )
| ! [SY2459: mworld] :
( ~ ( mrel @ SY2457 @ SY2459 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2459 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2459 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2459 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
| ~ ! [SY2467: mworld] :
( ~ ( mrel @ SV38 @ SY2467 )
| ~ ! [SY2468: mworld] :
( ~ ( mrel @ SY2467 @ SY2468 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2468 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2468 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2468 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2476: mworld] :
( ~ ( mrel @ SY2467 @ SY2476 )
| ( qmltpeq @ SV22 @ SV54 @ SY2476 ) ) ) )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(296,plain,
! [SV4: mworld,SV55: $i,SV23: $i,SV68: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV68 )
| ! [SY2556: $i] :
( ~ ( eiw_di @ SY2556 @ SV68 )
| ! [SY2557: mworld] :
( ~ ( mrel @ SV68 @ SY2557 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2557 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2481: mworld] :
( ~ ( mrel @ SY2557 @ SY2481 )
| ( qmltpeq @ ( union @ SY2556 @ SV23 ) @ ( union @ SY2556 @ SV55 ) @ SY2481 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(297,plain,
! [SV6: mworld,SV56: $i,SV24: $i,SV69: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV69 )
| ~ ! [SY2560: mworld] :
( ~ ( mrel @ SV69 @ SY2560 )
| ( subset @ SV24 @ SV56 @ SY2560 ) )
| ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(298,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV70: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV70 )
| ( qmltpeq @ ( union @ SV25 @ SV57 ) @ ( union @ SV57 @ SV25 ) @ SV70 ) )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(299,plain,
! [SV8: mworld,SV58: $i,SV26: $i,SV71: mworld,SV42: mworld] :
( ( ( ~ ( mrel @ SV42 @ SV71 )
| ! [SY2562: $i] :
( ~ ( eiw_di @ SY2562 @ SV71 )
| ~ ( ~ ! [SY2563: mworld] :
( ~ ( mrel @ SV71 @ SY2563 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2563 @ SY2489 )
| ( member @ SY2562 @ ( union @ SV26 @ SV58 ) @ SY2489 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2563 @ SY2258 )
| ( member @ SY2562 @ SV26 @ SY2258 ) )
| ! [SY2491: mworld] :
( ~ ( mrel @ SY2563 @ SY2491 )
| ( member @ SY2562 @ SV58 @ SY2491 ) ) )
| ~ ! [SY2567: mworld] :
( ~ ( mrel @ SV71 @ SY2567 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2567 @ SY2261 )
| ( member @ SY2562 @ SV26 @ SY2261 ) )
| ! [SY2494: mworld] :
( ~ ( mrel @ SY2567 @ SY2494 )
| ( member @ SY2562 @ SV58 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2567 @ SY2495 )
| ( member @ SY2562 @ ( union @ SV26 @ SV58 ) @ SY2495 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(300,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV43: mworld] :
( ( ( ~ ! [SY2496: mworld] :
( ~ ( mrel @ SV43 @ SY2496 )
| ~ ! [SY2497: mworld] :
( ~ ( mrel @ SY2496 @ SY2497 )
| ( qmltpeq @ SV27 @ SV59 @ SY2497 ) )
| ~ ( ~ ! [SY2498: mworld] :
( ~ ( mrel @ SY2496 @ SY2498 )
| ( subset @ SV27 @ SV59 @ SY2498 ) )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2496 @ SY2499 )
| ( subset @ SV59 @ SV27 @ SY2499 ) ) ) )
| ~ ! [SY2500: mworld] :
( ~ ( mrel @ SV43 @ SY2500 )
| ~ ~ ( ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2500 @ SY2501 )
| ( subset @ SV27 @ SV59 @ SY2501 ) )
| ~ ! [SY2502: mworld] :
( ~ ( mrel @ SY2500 @ SY2502 )
| ( subset @ SV59 @ SV27 @ SY2502 ) ) )
| ! [SY2503: mworld] :
( ~ ( mrel @ SY2500 @ SY2503 )
| ( qmltpeq @ SV27 @ SV59 @ SY2503 ) ) ) )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(301,plain,
! [SV10: mworld,SV60: $i,SV28: $i,SV72: mworld,SV44: mworld] :
( ( ( ~ ( mrel @ SV44 @ SV72 )
| ! [SY2571: $i] :
( ~ ( eiw_di @ SY2571 @ SV72 )
| ! [SY2572: mworld] :
( ~ ( mrel @ SV72 @ SY2572 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2572 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2572 @ SY2280 )
| ( member @ SY2571 @ SV28 @ SY2280 ) ) )
| ! [SY2509: mworld] :
( ~ ( mrel @ SY2572 @ SY2509 )
| ( member @ SY2571 @ SV60 @ SY2509 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(302,plain,
! [SV11: mworld,SV61: $i,SV29: $i,SV73: mworld,SV45: mworld] :
( ( ( ~ ( mrel @ SV45 @ SV73 )
| ! [SY2576: $i] :
( ~ ( eiw_di @ SY2576 @ SV73 )
| ! [SY2577: mworld] :
( ~ ( mrel @ SV73 @ SY2577 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2577 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2514: mworld] :
( ~ ( mrel @ SY2577 @ SY2514 )
| ( qmltpeq @ SV61 @ SY2576 @ SY2514 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2577 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2576 @ SY2289 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(303,plain,
! [SV13: mworld,SV62: $i,SV31: $i,SV74: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ SV74 )
| ! [SY2581: $i] :
( ~ ( eiw_di @ SY2581 @ SV74 )
| ! [SY2582: mworld] :
( ~ ( mrel @ SV74 @ SY2582 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2582 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2582 @ SY2297 )
| ( subset @ SY2581 @ SV31 @ SY2297 ) ) )
| ! [SY2521: mworld] :
( ~ ( mrel @ SY2582 @ SY2521 )
| ( subset @ SY2581 @ SV62 @ SY2521 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(304,plain,
! [SV14: mworld,SV63: $i,SV32: $i,SV75: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV75 )
| ! [SY2586: $i] :
( ~ ( eiw_di @ SY2586 @ SV75 )
| ! [SY2587: mworld] :
( ~ ( mrel @ SV75 @ SY2587 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2587 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2587 @ SY2305 )
| ( member @ SV32 @ SY2586 @ SY2305 ) ) )
| ! [SY2527: mworld] :
( ~ ( mrel @ SY2587 @ SY2527 )
| ( member @ SV63 @ SY2586 @ SY2527 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(305,plain,
! [SV15: mworld,SV64: $i,SV33: $i,SV76: mworld,SV49: mworld] :
( ( ( ~ ( mrel @ SV49 @ SV76 )
| ! [SY2591: $i] :
( ~ ( eiw_di @ SY2591 @ SV76 )
| ! [SY2592: mworld] :
( ~ ( mrel @ SV76 @ SY2592 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2592 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2592 @ SY2313 )
| ( subset @ SV33 @ SY2591 @ SY2313 ) ) )
| ! [SY2533: mworld] :
( ~ ( mrel @ SY2592 @ SY2533 )
| ( subset @ SV64 @ SY2591 @ SY2533 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(306,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV50: mworld] :
( ( ( ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV50 @ SY2534 )
| ~ ! [SY2535: mworld] :
( ~ ( mrel @ SY2534 @ SY2535 )
| ( subset @ SV34 @ SV65 @ SY2535 ) )
| ! [SY2536: mworld] :
( ~ ( mrel @ SY2534 @ SY2536 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2536 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2536 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
| ~ ! [SY2541: mworld] :
( ~ ( mrel @ SV50 @ SY2541 )
| ~ ! [SY2542: mworld] :
( ~ ( mrel @ SY2541 @ SY2542 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2542 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2542 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2547: mworld] :
( ~ ( mrel @ SY2541 @ SY2547 )
| ( subset @ SV34 @ SV65 @ SY2547 ) ) ) )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(307,plain,
! [SV17: mworld,SV66: $i,SV35: $i,SV77: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV77 )
| ! [SY2596: $i] :
( ~ ( eiw_di @ SY2596 @ SV77 )
| ! [SY2597: mworld] :
( ~ ( mrel @ SV77 @ SY2597 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2597 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2552: mworld] :
( ~ ( mrel @ SY2597 @ SY2552 )
| ( qmltpeq @ ( union @ SV35 @ SY2596 ) @ ( union @ SV66 @ SY2596 ) @ SY2552 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(308,plain,
! [SV19: mworld,SV67: $i,SV37: $i,SV78: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV78 )
| ~ ! [SY2600: mworld] :
( ~ ( mrel @ SV78 @ SY2600 )
| ( qmltpeq @ SV37 @ SV67 @ SY2600 ) )
| ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(309,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ~ ! [SY2457: mworld] :
( ~ ( mrel @ SV38 @ SY2457 )
| ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2457 @ SY2458 )
| ( qmltpeq @ SV22 @ SV54 @ SY2458 ) )
| ! [SY2459: mworld] :
( ~ ( mrel @ SY2457 @ SY2459 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2459 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2459 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2459 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(310,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ~ ! [SY2467: mworld] :
( ~ ( mrel @ SV38 @ SY2467 )
| ~ ! [SY2468: mworld] :
( ~ ( mrel @ SY2467 @ SY2468 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2468 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2468 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2468 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2476: mworld] :
( ~ ( mrel @ SY2467 @ SY2476 )
| ( qmltpeq @ SV22 @ SV54 @ SY2476 ) ) ) )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(311,plain,
! [SV4: mworld,SV55: $i,SV23: $i,SV68: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV68 ) )
= $true )
| ( ( ! [SY2556: $i] :
( ~ ( eiw_di @ SY2556 @ SV68 )
| ! [SY2557: mworld] :
( ~ ( mrel @ SV68 @ SY2557 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2557 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2481: mworld] :
( ~ ( mrel @ SY2557 @ SY2481 )
| ( qmltpeq @ ( union @ SY2556 @ SV23 ) @ ( union @ SY2556 @ SV55 ) @ SY2481 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(312,plain,
! [SV6: mworld,SV56: $i,SV24: $i,SV69: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV69 ) )
= $true )
| ( ( ~ ! [SY2560: mworld] :
( ~ ( mrel @ SV69 @ SY2560 )
| ( subset @ SV24 @ SV56 @ SY2560 ) )
| ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(313,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV70: mworld,SV41: mworld] :
( ( ( ~ ( mrel @ SV41 @ SV70 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV25 @ SV57 ) @ ( union @ SV57 @ SV25 ) @ SV70 )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(314,plain,
! [SV8: mworld,SV58: $i,SV26: $i,SV71: mworld,SV42: mworld] :
( ( ( ~ ( mrel @ SV42 @ SV71 ) )
= $true )
| ( ( ! [SY2562: $i] :
( ~ ( eiw_di @ SY2562 @ SV71 )
| ~ ( ~ ! [SY2563: mworld] :
( ~ ( mrel @ SV71 @ SY2563 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2563 @ SY2489 )
| ( member @ SY2562 @ ( union @ SV26 @ SV58 ) @ SY2489 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2563 @ SY2258 )
| ( member @ SY2562 @ SV26 @ SY2258 ) )
| ! [SY2491: mworld] :
( ~ ( mrel @ SY2563 @ SY2491 )
| ( member @ SY2562 @ SV58 @ SY2491 ) ) )
| ~ ! [SY2567: mworld] :
( ~ ( mrel @ SV71 @ SY2567 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2567 @ SY2261 )
| ( member @ SY2562 @ SV26 @ SY2261 ) )
| ! [SY2494: mworld] :
( ~ ( mrel @ SY2567 @ SY2494 )
| ( member @ SY2562 @ SV58 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2567 @ SY2495 )
| ( member @ SY2562 @ ( union @ SV26 @ SV58 ) @ SY2495 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(315,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV43: mworld] :
( ( ( ~ ! [SY2496: mworld] :
( ~ ( mrel @ SV43 @ SY2496 )
| ~ ! [SY2497: mworld] :
( ~ ( mrel @ SY2496 @ SY2497 )
| ( qmltpeq @ SV27 @ SV59 @ SY2497 ) )
| ~ ( ~ ! [SY2498: mworld] :
( ~ ( mrel @ SY2496 @ SY2498 )
| ( subset @ SV27 @ SV59 @ SY2498 ) )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2496 @ SY2499 )
| ( subset @ SV59 @ SV27 @ SY2499 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(316,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV43: mworld] :
( ( ( ~ ! [SY2500: mworld] :
( ~ ( mrel @ SV43 @ SY2500 )
| ~ ~ ( ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2500 @ SY2501 )
| ( subset @ SV27 @ SV59 @ SY2501 ) )
| ~ ! [SY2502: mworld] :
( ~ ( mrel @ SY2500 @ SY2502 )
| ( subset @ SV59 @ SV27 @ SY2502 ) ) )
| ! [SY2503: mworld] :
( ~ ( mrel @ SY2500 @ SY2503 )
| ( qmltpeq @ SV27 @ SV59 @ SY2503 ) ) ) )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(317,plain,
! [SV10: mworld,SV60: $i,SV28: $i,SV72: mworld,SV44: mworld] :
( ( ( ~ ( mrel @ SV44 @ SV72 ) )
= $true )
| ( ( ! [SY2571: $i] :
( ~ ( eiw_di @ SY2571 @ SV72 )
| ! [SY2572: mworld] :
( ~ ( mrel @ SV72 @ SY2572 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2572 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2572 @ SY2280 )
| ( member @ SY2571 @ SV28 @ SY2280 ) ) )
| ! [SY2509: mworld] :
( ~ ( mrel @ SY2572 @ SY2509 )
| ( member @ SY2571 @ SV60 @ SY2509 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(318,plain,
! [SV11: mworld,SV61: $i,SV29: $i,SV73: mworld,SV45: mworld] :
( ( ( ~ ( mrel @ SV45 @ SV73 ) )
= $true )
| ( ( ! [SY2576: $i] :
( ~ ( eiw_di @ SY2576 @ SV73 )
| ! [SY2577: mworld] :
( ~ ( mrel @ SV73 @ SY2577 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2577 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2514: mworld] :
( ~ ( mrel @ SY2577 @ SY2514 )
| ( qmltpeq @ SV61 @ SY2576 @ SY2514 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2577 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2576 @ SY2289 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(319,plain,
! [SV13: mworld,SV62: $i,SV31: $i,SV74: mworld,SV47: mworld] :
( ( ( ~ ( mrel @ SV47 @ SV74 ) )
= $true )
| ( ( ! [SY2581: $i] :
( ~ ( eiw_di @ SY2581 @ SV74 )
| ! [SY2582: mworld] :
( ~ ( mrel @ SV74 @ SY2582 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2582 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2582 @ SY2297 )
| ( subset @ SY2581 @ SV31 @ SY2297 ) ) )
| ! [SY2521: mworld] :
( ~ ( mrel @ SY2582 @ SY2521 )
| ( subset @ SY2581 @ SV62 @ SY2521 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(320,plain,
! [SV14: mworld,SV63: $i,SV32: $i,SV75: mworld,SV48: mworld] :
( ( ( ~ ( mrel @ SV48 @ SV75 ) )
= $true )
| ( ( ! [SY2586: $i] :
( ~ ( eiw_di @ SY2586 @ SV75 )
| ! [SY2587: mworld] :
( ~ ( mrel @ SV75 @ SY2587 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2587 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2587 @ SY2305 )
| ( member @ SV32 @ SY2586 @ SY2305 ) ) )
| ! [SY2527: mworld] :
( ~ ( mrel @ SY2587 @ SY2527 )
| ( member @ SV63 @ SY2586 @ SY2527 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(321,plain,
! [SV15: mworld,SV64: $i,SV33: $i,SV76: mworld,SV49: mworld] :
( ( ( ~ ( mrel @ SV49 @ SV76 ) )
= $true )
| ( ( ! [SY2591: $i] :
( ~ ( eiw_di @ SY2591 @ SV76 )
| ! [SY2592: mworld] :
( ~ ( mrel @ SV76 @ SY2592 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2592 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2592 @ SY2313 )
| ( subset @ SV33 @ SY2591 @ SY2313 ) ) )
| ! [SY2533: mworld] :
( ~ ( mrel @ SY2592 @ SY2533 )
| ( subset @ SV64 @ SY2591 @ SY2533 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(322,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV50: mworld] :
( ( ( ~ ! [SY2534: mworld] :
( ~ ( mrel @ SV50 @ SY2534 )
| ~ ! [SY2535: mworld] :
( ~ ( mrel @ SY2534 @ SY2535 )
| ( subset @ SV34 @ SV65 @ SY2535 ) )
| ! [SY2536: mworld] :
( ~ ( mrel @ SY2534 @ SY2536 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2536 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2536 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(323,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV50: mworld] :
( ( ( ~ ! [SY2541: mworld] :
( ~ ( mrel @ SV50 @ SY2541 )
| ~ ! [SY2542: mworld] :
( ~ ( mrel @ SY2541 @ SY2542 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2542 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2542 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2547: mworld] :
( ~ ( mrel @ SY2541 @ SY2547 )
| ( subset @ SV34 @ SV65 @ SY2547 ) ) ) )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(324,plain,
! [SV17: mworld,SV66: $i,SV35: $i,SV77: mworld,SV51: mworld] :
( ( ( ~ ( mrel @ SV51 @ SV77 ) )
= $true )
| ( ( ! [SY2596: $i] :
( ~ ( eiw_di @ SY2596 @ SV77 )
| ! [SY2597: mworld] :
( ~ ( mrel @ SV77 @ SY2597 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2597 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2552: mworld] :
( ~ ( mrel @ SY2597 @ SY2552 )
| ( qmltpeq @ ( union @ SV35 @ SY2596 ) @ ( union @ SV66 @ SY2596 ) @ SY2552 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(325,plain,
! [SV19: mworld,SV67: $i,SV37: $i,SV78: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV78 ) )
= $true )
| ( ( ~ ! [SY2600: mworld] :
( ~ ( mrel @ SV78 @ SY2600 )
| ( qmltpeq @ SV37 @ SV67 @ SY2600 ) )
| ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(326,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ! [SY2457: mworld] :
( ~ ( mrel @ SV38 @ SY2457 )
| ~ ! [SY2458: mworld] :
( ~ ( mrel @ SY2457 @ SY2458 )
| ( qmltpeq @ SV22 @ SV54 @ SY2458 ) )
| ! [SY2459: mworld] :
( ~ ( mrel @ SY2457 @ SY2459 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2459 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2459 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2459 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(327,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV38: mworld] :
( ( ( ! [SY2467: mworld] :
( ~ ( mrel @ SV38 @ SY2467 )
| ~ ! [SY2468: mworld] :
( ~ ( mrel @ SY2467 @ SY2468 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2468 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2468 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2468 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2476: mworld] :
( ~ ( mrel @ SY2467 @ SY2476 )
| ( qmltpeq @ SV22 @ SV54 @ SY2476 ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(328,plain,
! [SV4: mworld,SV55: $i,SV23: $i,SV68: mworld,SV39: mworld] :
( ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( ! [SY2556: $i] :
( ~ ( eiw_di @ SY2556 @ SV68 )
| ! [SY2557: mworld] :
( ~ ( mrel @ SV68 @ SY2557 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2557 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2481: mworld] :
( ~ ( mrel @ SY2557 @ SY2481 )
| ( qmltpeq @ ( union @ SY2556 @ SV23 ) @ ( union @ SY2556 @ SV55 ) @ SY2481 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(329,plain,
! [SV6: mworld,SV56: $i,SV24: $i,SV69: mworld,SV40: mworld] :
( ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( ~ ! [SY2560: mworld] :
( ~ ( mrel @ SV69 @ SY2560 )
| ( subset @ SV24 @ SV56 @ SY2560 ) )
| ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(330,plain,
! [SV7: mworld,SV57: $i,SV25: $i,SV70: mworld,SV41: mworld] :
( ( ( mrel @ SV41 @ SV70 )
= $false )
| ( ( qmltpeq @ ( union @ SV25 @ SV57 ) @ ( union @ SV57 @ SV25 ) @ SV70 )
= $true )
| ( ( eiw_di @ SV57 @ SV41 )
= $false )
| ( ( mrel @ SV7 @ SV41 )
= $false )
| ( ( eiw_di @ SV25 @ SV7 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(331,plain,
! [SV8: mworld,SV58: $i,SV26: $i,SV71: mworld,SV42: mworld] :
( ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( ! [SY2562: $i] :
( ~ ( eiw_di @ SY2562 @ SV71 )
| ~ ( ~ ! [SY2563: mworld] :
( ~ ( mrel @ SV71 @ SY2563 )
| ~ ! [SY2489: mworld] :
( ~ ( mrel @ SY2563 @ SY2489 )
| ( member @ SY2562 @ ( union @ SV26 @ SV58 ) @ SY2489 ) )
| ! [SY2258: mworld] :
( ~ ( mrel @ SY2563 @ SY2258 )
| ( member @ SY2562 @ SV26 @ SY2258 ) )
| ! [SY2491: mworld] :
( ~ ( mrel @ SY2563 @ SY2491 )
| ( member @ SY2562 @ SV58 @ SY2491 ) ) )
| ~ ! [SY2567: mworld] :
( ~ ( mrel @ SV71 @ SY2567 )
| ~ ( ! [SY2261: mworld] :
( ~ ( mrel @ SY2567 @ SY2261 )
| ( member @ SY2562 @ SV26 @ SY2261 ) )
| ! [SY2494: mworld] :
( ~ ( mrel @ SY2567 @ SY2494 )
| ( member @ SY2562 @ SV58 @ SY2494 ) ) )
| ! [SY2495: mworld] :
( ~ ( mrel @ SY2567 @ SY2495 )
| ( member @ SY2562 @ ( union @ SV26 @ SV58 ) @ SY2495 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(332,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV43: mworld] :
( ( ( ! [SY2496: mworld] :
( ~ ( mrel @ SV43 @ SY2496 )
| ~ ! [SY2497: mworld] :
( ~ ( mrel @ SY2496 @ SY2497 )
| ( qmltpeq @ SV27 @ SV59 @ SY2497 ) )
| ~ ( ~ ! [SY2498: mworld] :
( ~ ( mrel @ SY2496 @ SY2498 )
| ( subset @ SV27 @ SV59 @ SY2498 ) )
| ~ ! [SY2499: mworld] :
( ~ ( mrel @ SY2496 @ SY2499 )
| ( subset @ SV59 @ SV27 @ SY2499 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(333,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV43: mworld] :
( ( ( ! [SY2500: mworld] :
( ~ ( mrel @ SV43 @ SY2500 )
| ~ ~ ( ~ ! [SY2501: mworld] :
( ~ ( mrel @ SY2500 @ SY2501 )
| ( subset @ SV27 @ SV59 @ SY2501 ) )
| ~ ! [SY2502: mworld] :
( ~ ( mrel @ SY2500 @ SY2502 )
| ( subset @ SV59 @ SV27 @ SY2502 ) ) )
| ! [SY2503: mworld] :
( ~ ( mrel @ SY2500 @ SY2503 )
| ( qmltpeq @ SV27 @ SV59 @ SY2503 ) ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(334,plain,
! [SV10: mworld,SV60: $i,SV28: $i,SV72: mworld,SV44: mworld] :
( ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( ! [SY2571: $i] :
( ~ ( eiw_di @ SY2571 @ SV72 )
| ! [SY2572: mworld] :
( ~ ( mrel @ SV72 @ SY2572 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2572 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2280: mworld] :
( ~ ( mrel @ SY2572 @ SY2280 )
| ( member @ SY2571 @ SV28 @ SY2280 ) ) )
| ! [SY2509: mworld] :
( ~ ( mrel @ SY2572 @ SY2509 )
| ( member @ SY2571 @ SV60 @ SY2509 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(335,plain,
! [SV11: mworld,SV61: $i,SV29: $i,SV73: mworld,SV45: mworld] :
( ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( ! [SY2576: $i] :
( ~ ( eiw_di @ SY2576 @ SV73 )
| ! [SY2577: mworld] :
( ~ ( mrel @ SV73 @ SY2577 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2577 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2514: mworld] :
( ~ ( mrel @ SY2577 @ SY2514 )
| ( qmltpeq @ SV61 @ SY2576 @ SY2514 ) ) )
| ! [SY2289: mworld] :
( ~ ( mrel @ SY2577 @ SY2289 )
| ( qmltpeq @ SV29 @ SY2576 @ SY2289 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(336,plain,
! [SV13: mworld,SV62: $i,SV31: $i,SV74: mworld,SV47: mworld] :
( ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( ! [SY2581: $i] :
( ~ ( eiw_di @ SY2581 @ SV74 )
| ! [SY2582: mworld] :
( ~ ( mrel @ SV74 @ SY2582 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2582 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2297: mworld] :
( ~ ( mrel @ SY2582 @ SY2297 )
| ( subset @ SY2581 @ SV31 @ SY2297 ) ) )
| ! [SY2521: mworld] :
( ~ ( mrel @ SY2582 @ SY2521 )
| ( subset @ SY2581 @ SV62 @ SY2521 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(337,plain,
! [SV14: mworld,SV63: $i,SV32: $i,SV75: mworld,SV48: mworld] :
( ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( ! [SY2586: $i] :
( ~ ( eiw_di @ SY2586 @ SV75 )
| ! [SY2587: mworld] :
( ~ ( mrel @ SV75 @ SY2587 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2587 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2305: mworld] :
( ~ ( mrel @ SY2587 @ SY2305 )
| ( member @ SV32 @ SY2586 @ SY2305 ) ) )
| ! [SY2527: mworld] :
( ~ ( mrel @ SY2587 @ SY2527 )
| ( member @ SV63 @ SY2586 @ SY2527 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(338,plain,
! [SV15: mworld,SV64: $i,SV33: $i,SV76: mworld,SV49: mworld] :
( ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( ! [SY2591: $i] :
( ~ ( eiw_di @ SY2591 @ SV76 )
| ! [SY2592: mworld] :
( ~ ( mrel @ SV76 @ SY2592 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2592 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2313: mworld] :
( ~ ( mrel @ SY2592 @ SY2313 )
| ( subset @ SV33 @ SY2591 @ SY2313 ) ) )
| ! [SY2533: mworld] :
( ~ ( mrel @ SY2592 @ SY2533 )
| ( subset @ SV64 @ SY2591 @ SY2533 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(339,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV50: mworld] :
( ( ( ! [SY2534: mworld] :
( ~ ( mrel @ SV50 @ SY2534 )
| ~ ! [SY2535: mworld] :
( ~ ( mrel @ SY2534 @ SY2535 )
| ( subset @ SV34 @ SV65 @ SY2535 ) )
| ! [SY2536: mworld] :
( ~ ( mrel @ SY2534 @ SY2536 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2536 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2536 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(340,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV50: mworld] :
( ( ( ! [SY2541: mworld] :
( ~ ( mrel @ SV50 @ SY2541 )
| ~ ! [SY2542: mworld] :
( ~ ( mrel @ SY2541 @ SY2542 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2542 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2542 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2547: mworld] :
( ~ ( mrel @ SY2541 @ SY2547 )
| ( subset @ SV34 @ SV65 @ SY2547 ) ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(341,plain,
! [SV17: mworld,SV66: $i,SV35: $i,SV77: mworld,SV51: mworld] :
( ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( ! [SY2596: $i] :
( ~ ( eiw_di @ SY2596 @ SV77 )
| ! [SY2597: mworld] :
( ~ ( mrel @ SV77 @ SY2597 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2597 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2552: mworld] :
( ~ ( mrel @ SY2597 @ SY2552 )
| ( qmltpeq @ ( union @ SV35 @ SY2596 ) @ ( union @ SV66 @ SY2596 ) @ SY2552 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(342,plain,
! [SV19: mworld,SV67: $i,SV37: $i,SV78: mworld,SV53: mworld] :
( ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( ~ ! [SY2600: mworld] :
( ~ ( mrel @ SV78 @ SY2600 )
| ( qmltpeq @ SV37 @ SV67 @ SY2600 ) )
| ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(343,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV79: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV79 )
| ~ ! [SY2602: mworld] :
( ~ ( mrel @ SV79 @ SY2602 )
| ( qmltpeq @ SV22 @ SV54 @ SY2602 ) )
| ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(344,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV80: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV80 )
| ~ ! [SY2611: mworld] :
( ~ ( mrel @ SV80 @ SY2611 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2611 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2611 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2611 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(345,plain,
! [SV4: mworld,SV39: mworld,SV55: $i,SV23: $i,SV68: mworld,SV81: $i] :
( ( ( ~ ( eiw_di @ SV81 @ SV68 )
| ! [SY2620: mworld] :
( ~ ( mrel @ SV68 @ SY2620 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2620 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2622: mworld] :
( ~ ( mrel @ SY2620 @ SY2622 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2622 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(346,plain,
! [SV6: mworld,SV40: mworld,SV56: $i,SV24: $i,SV69: mworld] :
( ( ( ~ ! [SY2560: mworld] :
( ~ ( mrel @ SV69 @ SY2560 )
| ( subset @ SV24 @ SV56 @ SY2560 ) ) )
= $true )
| ( ( ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(347,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV71: mworld,SV82: $i] :
( ( ( ~ ( eiw_di @ SV82 @ SV71 )
| ~ ( ~ ! [SY2623: mworld] :
( ~ ( mrel @ SV71 @ SY2623 )
| ~ ! [SY2624: mworld] :
( ~ ( mrel @ SY2623 @ SY2624 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2624 ) )
| ! [SY2625: mworld] :
( ~ ( mrel @ SY2623 @ SY2625 )
| ( member @ SV82 @ SV26 @ SY2625 ) )
| ! [SY2626: mworld] :
( ~ ( mrel @ SY2623 @ SY2626 )
| ( member @ SV82 @ SV58 @ SY2626 ) ) )
| ~ ! [SY2627: mworld] :
( ~ ( mrel @ SV71 @ SY2627 )
| ~ ( ! [SY2628: mworld] :
( ~ ( mrel @ SY2627 @ SY2628 )
| ( member @ SV82 @ SV26 @ SY2628 ) )
| ! [SY2629: mworld] :
( ~ ( mrel @ SY2627 @ SY2629 )
| ( member @ SV82 @ SV58 @ SY2629 ) ) )
| ! [SY2630: mworld] :
( ~ ( mrel @ SY2627 @ SY2630 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2630 ) ) ) ) )
= $true )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(348,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV83: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV83 )
| ~ ! [SY2631: mworld] :
( ~ ( mrel @ SV83 @ SY2631 )
| ( qmltpeq @ SV27 @ SV59 @ SY2631 ) )
| ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(349,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV84: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV84 )
| ~ ~ ( ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV84 @ SY2634 )
| ( subset @ SV27 @ SV59 @ SY2634 ) )
| ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
| ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(350,plain,
! [SV10: mworld,SV44: mworld,SV60: $i,SV28: $i,SV72: mworld,SV85: $i] :
( ( ( ~ ( eiw_di @ SV85 @ SV72 )
| ! [SY2637: mworld] :
( ~ ( mrel @ SV72 @ SY2637 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2637 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2639: mworld] :
( ~ ( mrel @ SY2637 @ SY2639 )
| ( member @ SV85 @ SV28 @ SY2639 ) ) )
| ! [SY2640: mworld] :
( ~ ( mrel @ SY2637 @ SY2640 )
| ( member @ SV85 @ SV60 @ SY2640 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(351,plain,
! [SV11: mworld,SV45: mworld,SV61: $i,SV29: $i,SV73: mworld,SV86: $i] :
( ( ( ~ ( eiw_di @ SV86 @ SV73 )
| ! [SY2641: mworld] :
( ~ ( mrel @ SV73 @ SY2641 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2641 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2643: mworld] :
( ~ ( mrel @ SY2641 @ SY2643 )
| ( qmltpeq @ SV61 @ SV86 @ SY2643 ) ) )
| ! [SY2644: mworld] :
( ~ ( mrel @ SY2641 @ SY2644 )
| ( qmltpeq @ SV29 @ SV86 @ SY2644 ) ) ) )
= $true )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(352,plain,
! [SV13: mworld,SV47: mworld,SV62: $i,SV31: $i,SV74: mworld,SV87: $i] :
( ( ( ~ ( eiw_di @ SV87 @ SV74 )
| ! [SY2645: mworld] :
( ~ ( mrel @ SV74 @ SY2645 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2645 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2647: mworld] :
( ~ ( mrel @ SY2645 @ SY2647 )
| ( subset @ SV87 @ SV31 @ SY2647 ) ) )
| ! [SY2648: mworld] :
( ~ ( mrel @ SY2645 @ SY2648 )
| ( subset @ SV87 @ SV62 @ SY2648 ) ) ) )
= $true )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(353,plain,
! [SV14: mworld,SV48: mworld,SV63: $i,SV32: $i,SV75: mworld,SV88: $i] :
( ( ( ~ ( eiw_di @ SV88 @ SV75 )
| ! [SY2649: mworld] :
( ~ ( mrel @ SV75 @ SY2649 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2649 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2651: mworld] :
( ~ ( mrel @ SY2649 @ SY2651 )
| ( member @ SV32 @ SV88 @ SY2651 ) ) )
| ! [SY2652: mworld] :
( ~ ( mrel @ SY2649 @ SY2652 )
| ( member @ SV63 @ SV88 @ SY2652 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(354,plain,
! [SV15: mworld,SV49: mworld,SV64: $i,SV33: $i,SV76: mworld,SV89: $i] :
( ( ( ~ ( eiw_di @ SV89 @ SV76 )
| ! [SY2653: mworld] :
( ~ ( mrel @ SV76 @ SY2653 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2653 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2655: mworld] :
( ~ ( mrel @ SY2653 @ SY2655 )
| ( subset @ SV33 @ SV89 @ SY2655 ) ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SY2653 @ SY2656 )
| ( subset @ SV64 @ SV89 @ SY2656 ) ) ) )
= $true )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(355,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV90: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV90 )
| ~ ! [SY2657: mworld] :
( ~ ( mrel @ SV90 @ SY2657 )
| ( subset @ SV34 @ SV65 @ SY2657 ) )
| ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(356,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV91: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV91 )
| ~ ! [SY2663: mworld] :
( ~ ( mrel @ SV91 @ SY2663 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2663 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2663 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(357,plain,
! [SV17: mworld,SV51: mworld,SV66: $i,SV35: $i,SV77: mworld,SV92: $i] :
( ( ( ~ ( eiw_di @ SV92 @ SV77 )
| ! [SY2669: mworld] :
( ~ ( mrel @ SV77 @ SY2669 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2669 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2671: mworld] :
( ~ ( mrel @ SY2669 @ SY2671 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2671 ) ) ) )
= $true )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(358,plain,
! [SV19: mworld,SV53: mworld,SV67: $i,SV37: $i,SV78: mworld] :
( ( ( ~ ! [SY2600: mworld] :
( ~ ( mrel @ SV78 @ SY2600 )
| ( qmltpeq @ SV37 @ SV67 @ SY2600 ) ) )
= $true )
| ( ( ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(359,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV79: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV79 ) )
= $true )
| ( ( ~ ! [SY2602: mworld] :
( ~ ( mrel @ SV79 @ SY2602 )
| ( qmltpeq @ SV22 @ SV54 @ SY2602 ) )
| ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(360,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV80: mworld,SV38: mworld] :
( ( ( ~ ( mrel @ SV38 @ SV80 ) )
= $true )
| ( ( ~ ! [SY2611: mworld] :
( ~ ( mrel @ SV80 @ SY2611 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2611 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2611 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2611 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(361,plain,
! [SV4: mworld,SV39: mworld,SV55: $i,SV23: $i,SV68: mworld,SV81: $i] :
( ( ( ~ ( eiw_di @ SV81 @ SV68 ) )
= $true )
| ( ( ! [SY2620: mworld] :
( ~ ( mrel @ SV68 @ SY2620 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2620 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2622: mworld] :
( ~ ( mrel @ SY2620 @ SY2622 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2622 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(362,plain,
! [SV6: mworld,SV40: mworld,SV56: $i,SV24: $i,SV69: mworld] :
( ( ( ! [SY2560: mworld] :
( ~ ( mrel @ SV69 @ SY2560 )
| ( subset @ SV24 @ SV56 @ SY2560 ) ) )
= $false )
| ( ( ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(363,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV71: mworld,SV82: $i] :
( ( ( ~ ( eiw_di @ SV82 @ SV71 ) )
= $true )
| ( ( ~ ( ~ ! [SY2623: mworld] :
( ~ ( mrel @ SV71 @ SY2623 )
| ~ ! [SY2624: mworld] :
( ~ ( mrel @ SY2623 @ SY2624 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2624 ) )
| ! [SY2625: mworld] :
( ~ ( mrel @ SY2623 @ SY2625 )
| ( member @ SV82 @ SV26 @ SY2625 ) )
| ! [SY2626: mworld] :
( ~ ( mrel @ SY2623 @ SY2626 )
| ( member @ SV82 @ SV58 @ SY2626 ) ) )
| ~ ! [SY2627: mworld] :
( ~ ( mrel @ SV71 @ SY2627 )
| ~ ( ! [SY2628: mworld] :
( ~ ( mrel @ SY2627 @ SY2628 )
| ( member @ SV82 @ SV26 @ SY2628 ) )
| ! [SY2629: mworld] :
( ~ ( mrel @ SY2627 @ SY2629 )
| ( member @ SV82 @ SV58 @ SY2629 ) ) )
| ! [SY2630: mworld] :
( ~ ( mrel @ SY2627 @ SY2630 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2630 ) ) ) ) )
= $true )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(364,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV83: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV83 ) )
= $true )
| ( ( ~ ! [SY2631: mworld] :
( ~ ( mrel @ SV83 @ SY2631 )
| ( qmltpeq @ SV27 @ SV59 @ SY2631 ) )
| ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(365,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV84: mworld,SV43: mworld] :
( ( ( ~ ( mrel @ SV43 @ SV84 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV84 @ SY2634 )
| ( subset @ SV27 @ SV59 @ SY2634 ) )
| ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
| ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(366,plain,
! [SV10: mworld,SV44: mworld,SV60: $i,SV28: $i,SV72: mworld,SV85: $i] :
( ( ( ~ ( eiw_di @ SV85 @ SV72 ) )
= $true )
| ( ( ! [SY2637: mworld] :
( ~ ( mrel @ SV72 @ SY2637 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2637 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2639: mworld] :
( ~ ( mrel @ SY2637 @ SY2639 )
| ( member @ SV85 @ SV28 @ SY2639 ) ) )
| ! [SY2640: mworld] :
( ~ ( mrel @ SY2637 @ SY2640 )
| ( member @ SV85 @ SV60 @ SY2640 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(367,plain,
! [SV11: mworld,SV45: mworld,SV61: $i,SV29: $i,SV73: mworld,SV86: $i] :
( ( ( ~ ( eiw_di @ SV86 @ SV73 ) )
= $true )
| ( ( ! [SY2641: mworld] :
( ~ ( mrel @ SV73 @ SY2641 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2641 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2643: mworld] :
( ~ ( mrel @ SY2641 @ SY2643 )
| ( qmltpeq @ SV61 @ SV86 @ SY2643 ) ) )
| ! [SY2644: mworld] :
( ~ ( mrel @ SY2641 @ SY2644 )
| ( qmltpeq @ SV29 @ SV86 @ SY2644 ) ) ) )
= $true )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(368,plain,
! [SV13: mworld,SV47: mworld,SV62: $i,SV31: $i,SV74: mworld,SV87: $i] :
( ( ( ~ ( eiw_di @ SV87 @ SV74 ) )
= $true )
| ( ( ! [SY2645: mworld] :
( ~ ( mrel @ SV74 @ SY2645 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2645 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2647: mworld] :
( ~ ( mrel @ SY2645 @ SY2647 )
| ( subset @ SV87 @ SV31 @ SY2647 ) ) )
| ! [SY2648: mworld] :
( ~ ( mrel @ SY2645 @ SY2648 )
| ( subset @ SV87 @ SV62 @ SY2648 ) ) ) )
= $true )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(369,plain,
! [SV14: mworld,SV48: mworld,SV63: $i,SV32: $i,SV75: mworld,SV88: $i] :
( ( ( ~ ( eiw_di @ SV88 @ SV75 ) )
= $true )
| ( ( ! [SY2649: mworld] :
( ~ ( mrel @ SV75 @ SY2649 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2649 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2651: mworld] :
( ~ ( mrel @ SY2649 @ SY2651 )
| ( member @ SV32 @ SV88 @ SY2651 ) ) )
| ! [SY2652: mworld] :
( ~ ( mrel @ SY2649 @ SY2652 )
| ( member @ SV63 @ SV88 @ SY2652 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(370,plain,
! [SV15: mworld,SV49: mworld,SV64: $i,SV33: $i,SV76: mworld,SV89: $i] :
( ( ( ~ ( eiw_di @ SV89 @ SV76 ) )
= $true )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV76 @ SY2653 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2653 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2655: mworld] :
( ~ ( mrel @ SY2653 @ SY2655 )
| ( subset @ SV33 @ SV89 @ SY2655 ) ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SY2653 @ SY2656 )
| ( subset @ SV64 @ SV89 @ SY2656 ) ) ) )
= $true )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(371,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV90: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV90 ) )
= $true )
| ( ( ~ ! [SY2657: mworld] :
( ~ ( mrel @ SV90 @ SY2657 )
| ( subset @ SV34 @ SV65 @ SY2657 ) )
| ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(372,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV91: mworld,SV50: mworld] :
( ( ( ~ ( mrel @ SV50 @ SV91 ) )
= $true )
| ( ( ~ ! [SY2663: mworld] :
( ~ ( mrel @ SV91 @ SY2663 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2663 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2663 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(373,plain,
! [SV17: mworld,SV51: mworld,SV66: $i,SV35: $i,SV77: mworld,SV92: $i] :
( ( ( ~ ( eiw_di @ SV92 @ SV77 ) )
= $true )
| ( ( ! [SY2669: mworld] :
( ~ ( mrel @ SV77 @ SY2669 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2669 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2671: mworld] :
( ~ ( mrel @ SY2669 @ SY2671 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2671 ) ) ) )
= $true )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(374,plain,
! [SV19: mworld,SV53: mworld,SV67: $i,SV37: $i,SV78: mworld] :
( ( ( ! [SY2600: mworld] :
( ~ ( mrel @ SV78 @ SY2600 )
| ( qmltpeq @ SV37 @ SV67 @ SY2600 ) ) )
= $false )
| ( ( ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(375,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV79: mworld,SV38: mworld] :
( ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( ~ ! [SY2602: mworld] :
( ~ ( mrel @ SV79 @ SY2602 )
| ( qmltpeq @ SV22 @ SV54 @ SY2602 ) )
| ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(376,plain,
! [SV2: mworld,SV54: $i,SV22: $i,SV80: mworld,SV38: mworld] :
( ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( ~ ! [SY2611: mworld] :
( ~ ( mrel @ SV80 @ SY2611 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2611 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2611 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2611 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) )
| ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(377,plain,
! [SV4: mworld,SV39: mworld,SV55: $i,SV23: $i,SV68: mworld,SV81: $i] :
( ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( ! [SY2620: mworld] :
( ~ ( mrel @ SV68 @ SY2620 )
| ~ ! [SY2480: mworld] :
( ~ ( mrel @ SY2620 @ SY2480 )
| ( qmltpeq @ SV23 @ SV55 @ SY2480 ) )
| ! [SY2622: mworld] :
( ~ ( mrel @ SY2620 @ SY2622 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2622 ) ) ) )
= $true )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(378,plain,
! [SV24: $i,SV56: $i,SV40: mworld,SV6: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
| ( subset @ SV24 @ SV56 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) ) )
= $false )
| ( ( ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[362]) ).
thf(379,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV71: mworld,SV82: $i] :
( ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( ~ ( ~ ! [SY2623: mworld] :
( ~ ( mrel @ SV71 @ SY2623 )
| ~ ! [SY2624: mworld] :
( ~ ( mrel @ SY2623 @ SY2624 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2624 ) )
| ! [SY2625: mworld] :
( ~ ( mrel @ SY2623 @ SY2625 )
| ( member @ SV82 @ SV26 @ SY2625 ) )
| ! [SY2626: mworld] :
( ~ ( mrel @ SY2623 @ SY2626 )
| ( member @ SV82 @ SV58 @ SY2626 ) ) )
| ~ ! [SY2627: mworld] :
( ~ ( mrel @ SV71 @ SY2627 )
| ~ ( ! [SY2628: mworld] :
( ~ ( mrel @ SY2627 @ SY2628 )
| ( member @ SV82 @ SV26 @ SY2628 ) )
| ! [SY2629: mworld] :
( ~ ( mrel @ SY2627 @ SY2629 )
| ( member @ SV82 @ SV58 @ SY2629 ) ) )
| ! [SY2630: mworld] :
( ~ ( mrel @ SY2627 @ SY2630 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2630 ) ) ) ) )
= $true )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(380,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV83: mworld,SV43: mworld] :
( ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( ~ ! [SY2631: mworld] :
( ~ ( mrel @ SV83 @ SY2631 )
| ( qmltpeq @ SV27 @ SV59 @ SY2631 ) )
| ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(381,plain,
! [SV9: mworld,SV59: $i,SV27: $i,SV84: mworld,SV43: mworld] :
( ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV84 @ SY2634 )
| ( subset @ SV27 @ SV59 @ SY2634 ) )
| ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
| ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(382,plain,
! [SV10: mworld,SV44: mworld,SV60: $i,SV28: $i,SV72: mworld,SV85: $i] :
( ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( ! [SY2637: mworld] :
( ~ ( mrel @ SV72 @ SY2637 )
| ~ ~ ( ~ ! [SY2507: mworld] :
( ~ ( mrel @ SY2637 @ SY2507 )
| ( qmltpeq @ SV28 @ SV60 @ SY2507 ) )
| ~ ! [SY2639: mworld] :
( ~ ( mrel @ SY2637 @ SY2639 )
| ( member @ SV85 @ SV28 @ SY2639 ) ) )
| ! [SY2640: mworld] :
( ~ ( mrel @ SY2637 @ SY2640 )
| ( member @ SV85 @ SV60 @ SY2640 ) ) ) )
= $true )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(383,plain,
! [SV11: mworld,SV45: mworld,SV61: $i,SV29: $i,SV73: mworld,SV86: $i] :
( ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( ! [SY2641: mworld] :
( ~ ( mrel @ SV73 @ SY2641 )
| ~ ~ ( ~ ! [SY2513: mworld] :
( ~ ( mrel @ SY2641 @ SY2513 )
| ( qmltpeq @ SV29 @ SV61 @ SY2513 ) )
| ~ ! [SY2643: mworld] :
( ~ ( mrel @ SY2641 @ SY2643 )
| ( qmltpeq @ SV61 @ SV86 @ SY2643 ) ) )
| ! [SY2644: mworld] :
( ~ ( mrel @ SY2641 @ SY2644 )
| ( qmltpeq @ SV29 @ SV86 @ SY2644 ) ) ) )
= $true )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(384,plain,
! [SV13: mworld,SV47: mworld,SV62: $i,SV31: $i,SV74: mworld,SV87: $i] :
( ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( ! [SY2645: mworld] :
( ~ ( mrel @ SV74 @ SY2645 )
| ~ ~ ( ~ ! [SY2519: mworld] :
( ~ ( mrel @ SY2645 @ SY2519 )
| ( qmltpeq @ SV31 @ SV62 @ SY2519 ) )
| ~ ! [SY2647: mworld] :
( ~ ( mrel @ SY2645 @ SY2647 )
| ( subset @ SV87 @ SV31 @ SY2647 ) ) )
| ! [SY2648: mworld] :
( ~ ( mrel @ SY2645 @ SY2648 )
| ( subset @ SV87 @ SV62 @ SY2648 ) ) ) )
= $true )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(385,plain,
! [SV14: mworld,SV48: mworld,SV63: $i,SV32: $i,SV75: mworld,SV88: $i] :
( ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( ! [SY2649: mworld] :
( ~ ( mrel @ SV75 @ SY2649 )
| ~ ~ ( ~ ! [SY2525: mworld] :
( ~ ( mrel @ SY2649 @ SY2525 )
| ( qmltpeq @ SV32 @ SV63 @ SY2525 ) )
| ~ ! [SY2651: mworld] :
( ~ ( mrel @ SY2649 @ SY2651 )
| ( member @ SV32 @ SV88 @ SY2651 ) ) )
| ! [SY2652: mworld] :
( ~ ( mrel @ SY2649 @ SY2652 )
| ( member @ SV63 @ SV88 @ SY2652 ) ) ) )
= $true )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(386,plain,
! [SV15: mworld,SV49: mworld,SV64: $i,SV33: $i,SV76: mworld,SV89: $i] :
( ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( ! [SY2653: mworld] :
( ~ ( mrel @ SV76 @ SY2653 )
| ~ ~ ( ~ ! [SY2531: mworld] :
( ~ ( mrel @ SY2653 @ SY2531 )
| ( qmltpeq @ SV33 @ SV64 @ SY2531 ) )
| ~ ! [SY2655: mworld] :
( ~ ( mrel @ SY2653 @ SY2655 )
| ( subset @ SV33 @ SV89 @ SY2655 ) ) )
| ! [SY2656: mworld] :
( ~ ( mrel @ SY2653 @ SY2656 )
| ( subset @ SV64 @ SV89 @ SY2656 ) ) ) )
= $true )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(387,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV90: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( ~ ! [SY2657: mworld] :
( ~ ( mrel @ SV90 @ SY2657 )
| ( subset @ SV34 @ SV65 @ SY2657 ) )
| ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(388,plain,
! [SV16: mworld,SV65: $i,SV34: $i,SV91: mworld,SV50: mworld] :
( ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( ~ ! [SY2663: mworld] :
( ~ ( mrel @ SV91 @ SY2663 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2663 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2663 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) )
| ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(389,plain,
! [SV17: mworld,SV51: mworld,SV66: $i,SV35: $i,SV77: mworld,SV92: $i] :
( ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( ! [SY2669: mworld] :
( ~ ( mrel @ SV77 @ SY2669 )
| ~ ! [SY2551: mworld] :
( ~ ( mrel @ SY2669 @ SY2551 )
| ( qmltpeq @ SV35 @ SV66 @ SY2551 ) )
| ! [SY2671: mworld] :
( ~ ( mrel @ SY2669 @ SY2671 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2671 ) ) ) )
= $true )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(390,plain,
! [SV37: $i,SV67: $i,SV53: mworld,SV19: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
| ( qmltpeq @ SV37 @ SV67 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) ) )
= $false )
| ( ( ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[374]) ).
thf(391,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV79: mworld] :
( ( ( ~ ! [SY2602: mworld] :
( ~ ( mrel @ SV79 @ SY2602 )
| ( qmltpeq @ SV22 @ SV54 @ SY2602 ) ) )
= $true )
| ( ( ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(392,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2611: mworld] :
( ~ ( mrel @ SV80 @ SY2611 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2611 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2611 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2611 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(393,plain,
! [SV4: mworld,SV39: mworld,SV81: $i,SV55: $i,SV23: $i,SV93: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV93 )
| ~ ! [SY2672: mworld] :
( ~ ( mrel @ SV93 @ SY2672 )
| ( qmltpeq @ SV23 @ SV55 @ SY2672 ) )
| ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(394,plain,
! [SV24: $i,SV56: $i,SV40: mworld,SV6: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) ) )
= $false )
| ( ( ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(395,plain,
! [SV69: mworld,SV40: mworld,SV6: mworld,SV56: $i,SV24: $i] :
( ( ( subset @ SV24 @ SV56 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
= $false )
| ( ( ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(396,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV71: mworld] :
( ( ( ~ ! [SY2623: mworld] :
( ~ ( mrel @ SV71 @ SY2623 )
| ~ ! [SY2624: mworld] :
( ~ ( mrel @ SY2623 @ SY2624 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2624 ) )
| ! [SY2625: mworld] :
( ~ ( mrel @ SY2623 @ SY2625 )
| ( member @ SV82 @ SV26 @ SY2625 ) )
| ! [SY2626: mworld] :
( ~ ( mrel @ SY2623 @ SY2626 )
| ( member @ SV82 @ SV58 @ SY2626 ) ) )
| ~ ! [SY2627: mworld] :
( ~ ( mrel @ SV71 @ SY2627 )
| ~ ( ! [SY2628: mworld] :
( ~ ( mrel @ SY2627 @ SY2628 )
| ( member @ SV82 @ SV26 @ SY2628 ) )
| ! [SY2629: mworld] :
( ~ ( mrel @ SY2627 @ SY2629 )
| ( member @ SV82 @ SV58 @ SY2629 ) ) )
| ! [SY2630: mworld] :
( ~ ( mrel @ SY2627 @ SY2630 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2630 ) ) ) )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(397,plain,
! [SV9: mworld,SV43: mworld,SV59: $i,SV27: $i,SV83: mworld] :
( ( ( ~ ! [SY2631: mworld] :
( ~ ( mrel @ SV83 @ SY2631 )
| ( qmltpeq @ SV27 @ SV59 @ SY2631 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(398,plain,
! [SV9: mworld,SV43: mworld,SV59: $i,SV27: $i,SV84: mworld] :
( ( ( ~ ~ ( ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV84 @ SY2634 )
| ( subset @ SV27 @ SV59 @ SY2634 ) )
| ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(399,plain,
! [SV10: mworld,SV44: mworld,SV85: $i,SV60: $i,SV28: $i,SV94: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ SV94 )
| ~ ~ ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV94 @ SY2674 )
| ( qmltpeq @ SV28 @ SV60 @ SY2674 ) )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
| ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(400,plain,
! [SV11: mworld,SV45: mworld,SV86: $i,SV61: $i,SV29: $i,SV95: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ SV73 @ SV95 )
| ~ ~ ( ~ ! [SY2677: mworld] :
( ~ ( mrel @ SV95 @ SY2677 )
| ( qmltpeq @ SV29 @ SV61 @ SY2677 ) )
| ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
| ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(401,plain,
! [SV13: mworld,SV47: mworld,SV87: $i,SV62: $i,SV31: $i,SV96: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ SV74 @ SV96 )
| ~ ~ ( ~ ! [SY2680: mworld] :
( ~ ( mrel @ SV96 @ SY2680 )
| ( qmltpeq @ SV31 @ SV62 @ SY2680 ) )
| ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
| ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(402,plain,
! [SV14: mworld,SV48: mworld,SV88: $i,SV63: $i,SV32: $i,SV97: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV97 )
| ~ ~ ( ~ ! [SY2683: mworld] :
( ~ ( mrel @ SV97 @ SY2683 )
| ( qmltpeq @ SV32 @ SV63 @ SY2683 ) )
| ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
| ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(403,plain,
! [SV15: mworld,SV49: mworld,SV89: $i,SV64: $i,SV33: $i,SV98: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV98 )
| ~ ~ ( ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV98 @ SY2686 )
| ( qmltpeq @ SV33 @ SV64 @ SY2686 ) )
| ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
| ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(404,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV90: mworld] :
( ( ( ~ ! [SY2657: mworld] :
( ~ ( mrel @ SV90 @ SY2657 )
| ( subset @ SV34 @ SV65 @ SY2657 ) ) )
= $true )
| ( ( ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(405,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ! [SY2663: mworld] :
( ~ ( mrel @ SV91 @ SY2663 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2663 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2663 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) ) )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(406,plain,
! [SV17: mworld,SV51: mworld,SV92: $i,SV66: $i,SV35: $i,SV99: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV99 )
| ~ ! [SY2689: mworld] :
( ~ ( mrel @ SV99 @ SY2689 )
| ( qmltpeq @ SV35 @ SV66 @ SY2689 ) )
| ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(407,plain,
! [SV37: $i,SV67: $i,SV53: mworld,SV19: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) ) )
= $false )
| ( ( ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(408,plain,
! [SV78: mworld,SV53: mworld,SV19: mworld,SV67: $i,SV37: $i] :
( ( ( qmltpeq @ SV37 @ SV67 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
= $false )
| ( ( ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(409,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV79: mworld] :
( ( ( ! [SY2602: mworld] :
( ~ ( mrel @ SV79 @ SY2602 )
| ( qmltpeq @ SV22 @ SV54 @ SY2602 ) ) )
= $false )
| ( ( ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(410,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2611: mworld] :
( ~ ( mrel @ SV80 @ SY2611 )
| ! [SY2469: $i] :
( ~ ( eiw_di @ SY2469 @ SY2611 )
| ~ ( ~ ! [SY2470: mworld] :
( ~ ( mrel @ SY2611 @ SY2470 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2470 @ SY2231 )
| ( member @ SY2469 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2470 @ SY2472 )
| ( member @ SY2469 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2473: mworld] :
( ~ ( mrel @ SY2611 @ SY2473 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2473 @ SY2474 )
| ( member @ SY2469 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2473 @ SY2235 )
| ( member @ SY2469 @ SV22 @ SY2235 ) ) ) ) ) ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(411,plain,
! [SV4: mworld,SV39: mworld,SV81: $i,SV55: $i,SV23: $i,SV93: mworld,SV68: mworld] :
( ( ( ~ ( mrel @ SV68 @ SV93 ) )
= $true )
| ( ( ~ ! [SY2672: mworld] :
( ~ ( mrel @ SV93 @ SY2672 )
| ( qmltpeq @ SV23 @ SV55 @ SY2672 ) )
| ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(412,plain,
! [SV24: $i,SV56: $i,SV40: mworld,SV6: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
= $true )
| ( ( ! [SY2561: mworld] :
( ~ ( mrel @ SV69 @ SY2561 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SY2561 ) ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(413,plain,
! [SV40: mworld,SV6: mworld,SV56: $i,SV24: $i,SV100: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV100 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SV100 ) )
= $true )
| ( ( subset @ SV24 @ SV56 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(414,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV71: mworld] :
( ( ( ~ ! [SY2623: mworld] :
( ~ ( mrel @ SV71 @ SY2623 )
| ~ ! [SY2624: mworld] :
( ~ ( mrel @ SY2623 @ SY2624 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2624 ) )
| ! [SY2625: mworld] :
( ~ ( mrel @ SY2623 @ SY2625 )
| ( member @ SV82 @ SV26 @ SY2625 ) )
| ! [SY2626: mworld] :
( ~ ( mrel @ SY2623 @ SY2626 )
| ( member @ SV82 @ SV58 @ SY2626 ) ) ) )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(415,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV71: mworld] :
( ( ( ~ ! [SY2627: mworld] :
( ~ ( mrel @ SV71 @ SY2627 )
| ~ ( ! [SY2628: mworld] :
( ~ ( mrel @ SY2627 @ SY2628 )
| ( member @ SV82 @ SV26 @ SY2628 ) )
| ! [SY2629: mworld] :
( ~ ( mrel @ SY2627 @ SY2629 )
| ( member @ SV82 @ SV58 @ SY2629 ) ) )
| ! [SY2630: mworld] :
( ~ ( mrel @ SY2627 @ SY2630 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2630 ) ) ) )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(416,plain,
! [SV9: mworld,SV43: mworld,SV59: $i,SV27: $i,SV83: mworld] :
( ( ( ! [SY2631: mworld] :
( ~ ( mrel @ SV83 @ SY2631 )
| ( qmltpeq @ SV27 @ SV59 @ SY2631 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(417,plain,
! [SV9: mworld,SV43: mworld,SV59: $i,SV27: $i,SV84: mworld] :
( ( ( ~ ( ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV84 @ SY2634 )
| ( subset @ SV27 @ SV59 @ SY2634 ) )
| ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) ) )
= $false )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(418,plain,
! [SV10: mworld,SV44: mworld,SV85: $i,SV60: $i,SV28: $i,SV94: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ SV94 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV94 @ SY2674 )
| ( qmltpeq @ SV28 @ SV60 @ SY2674 ) )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
| ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(419,plain,
! [SV11: mworld,SV45: mworld,SV86: $i,SV61: $i,SV29: $i,SV95: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ SV73 @ SV95 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2677: mworld] :
( ~ ( mrel @ SV95 @ SY2677 )
| ( qmltpeq @ SV29 @ SV61 @ SY2677 ) )
| ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
| ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(420,plain,
! [SV13: mworld,SV47: mworld,SV87: $i,SV62: $i,SV31: $i,SV96: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ SV74 @ SV96 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2680: mworld] :
( ~ ( mrel @ SV96 @ SY2680 )
| ( qmltpeq @ SV31 @ SV62 @ SY2680 ) )
| ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
| ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(421,plain,
! [SV14: mworld,SV48: mworld,SV88: $i,SV63: $i,SV32: $i,SV97: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV97 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2683: mworld] :
( ~ ( mrel @ SV97 @ SY2683 )
| ( qmltpeq @ SV32 @ SV63 @ SY2683 ) )
| ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
| ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(422,plain,
! [SV15: mworld,SV49: mworld,SV89: $i,SV64: $i,SV33: $i,SV98: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV98 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV98 @ SY2686 )
| ( qmltpeq @ SV33 @ SV64 @ SY2686 ) )
| ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
| ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(423,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV90: mworld] :
( ( ( ! [SY2657: mworld] :
( ~ ( mrel @ SV90 @ SY2657 )
| ( subset @ SV34 @ SV65 @ SY2657 ) ) )
= $false )
| ( ( ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(424,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ! [SY2663: mworld] :
( ~ ( mrel @ SV91 @ SY2663 )
| ! [SY2543: $i] :
( ~ ( eiw_di @ SY2543 @ SY2663 )
| ! [SY2544: mworld] :
( ~ ( mrel @ SY2663 @ SY2544 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2544 @ SY2328 )
| ( member @ SY2543 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2544 @ SY2546 )
| ( member @ SY2543 @ SV65 @ SY2546 ) ) ) ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(425,plain,
! [SV17: mworld,SV51: mworld,SV92: $i,SV66: $i,SV35: $i,SV99: mworld,SV77: mworld] :
( ( ( ~ ( mrel @ SV77 @ SV99 ) )
= $true )
| ( ( ~ ! [SY2689: mworld] :
( ~ ( mrel @ SV99 @ SY2689 )
| ( qmltpeq @ SV35 @ SV66 @ SY2689 ) )
| ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(426,plain,
! [SV37: $i,SV67: $i,SV53: mworld,SV19: mworld,SV78: mworld] :
( ( ( mrel @ SV78 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
= $true )
| ( ( ! [SY2601: mworld] :
( ~ ( mrel @ SV78 @ SY2601 )
| ( qmltpeq @ SV67 @ SV37 @ SY2601 ) ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(427,plain,
! [SV53: mworld,SV19: mworld,SV37: $i,SV67: $i,SV101: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV101 )
| ( qmltpeq @ SV67 @ SV37 @ SV101 ) )
= $true )
| ( ( qmltpeq @ SV37 @ SV67 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(428,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV2: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
| ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) ) )
= $false )
| ( ( ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[409]) ).
thf(429,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV2: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ! [SY2691: $i] :
( ~ ( eiw_di @ SY2691 @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ~ ( ~ ! [SY2692: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2692 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2692 @ SY2231 )
| ( member @ SY2691 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2692 @ SY2472 )
| ( member @ SY2691 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2695: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2695 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2695 @ SY2474 )
| ( member @ SY2691 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2695 @ SY2235 )
| ( member @ SY2691 @ SV22 @ SY2235 ) ) ) ) ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[410]) ).
thf(430,plain,
! [SV4: mworld,SV39: mworld,SV81: $i,SV55: $i,SV23: $i,SV93: mworld,SV68: mworld] :
( ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( ~ ! [SY2672: mworld] :
( ~ ( mrel @ SV93 @ SY2672 )
| ( qmltpeq @ SV23 @ SV55 @ SY2672 ) )
| ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(431,plain,
! [SV40: mworld,SV6: mworld,SV56: $i,SV24: $i,SV102: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV102 )
| ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SV102 ) )
= $true )
| ( ( mrel @ SV69 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(432,plain,
! [SV40: mworld,SV6: mworld,SV56: $i,SV24: $i,SV100: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV100 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SV100 )
= $true )
| ( ( subset @ SV24 @ SV56 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(433,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV71: mworld] :
( ( ( ! [SY2623: mworld] :
( ~ ( mrel @ SV71 @ SY2623 )
| ~ ! [SY2624: mworld] :
( ~ ( mrel @ SY2623 @ SY2624 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2624 ) )
| ! [SY2625: mworld] :
( ~ ( mrel @ SY2623 @ SY2625 )
| ( member @ SV82 @ SV26 @ SY2625 ) )
| ! [SY2626: mworld] :
( ~ ( mrel @ SY2623 @ SY2626 )
| ( member @ SV82 @ SV58 @ SY2626 ) ) ) )
= $true )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(434,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV71: mworld] :
( ( ( ! [SY2627: mworld] :
( ~ ( mrel @ SV71 @ SY2627 )
| ~ ( ! [SY2628: mworld] :
( ~ ( mrel @ SY2627 @ SY2628 )
| ( member @ SV82 @ SV26 @ SY2628 ) )
| ! [SY2629: mworld] :
( ~ ( mrel @ SY2627 @ SY2629 )
| ( member @ SV82 @ SV58 @ SY2629 ) ) )
| ! [SY2630: mworld] :
( ~ ( mrel @ SY2627 @ SY2630 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2630 ) ) ) )
= $true )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(435,plain,
! [SV27: $i,SV59: $i,SV43: mworld,SV9: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
| ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[416]) ).
thf(436,plain,
! [SV9: mworld,SV43: mworld,SV59: $i,SV27: $i,SV84: mworld] :
( ( ( ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV84 @ SY2634 )
| ( subset @ SV27 @ SV59 @ SY2634 ) )
| ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(437,plain,
! [SV10: mworld,SV44: mworld,SV85: $i,SV60: $i,SV28: $i,SV94: mworld,SV72: mworld] :
( ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV94 @ SY2674 )
| ( qmltpeq @ SV28 @ SV60 @ SY2674 ) )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
| ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(438,plain,
! [SV11: mworld,SV45: mworld,SV86: $i,SV61: $i,SV29: $i,SV95: mworld,SV73: mworld] :
( ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2677: mworld] :
( ~ ( mrel @ SV95 @ SY2677 )
| ( qmltpeq @ SV29 @ SV61 @ SY2677 ) )
| ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
| ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(439,plain,
! [SV13: mworld,SV47: mworld,SV87: $i,SV62: $i,SV31: $i,SV96: mworld,SV74: mworld] :
( ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2680: mworld] :
( ~ ( mrel @ SV96 @ SY2680 )
| ( qmltpeq @ SV31 @ SV62 @ SY2680 ) )
| ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
| ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(440,plain,
! [SV14: mworld,SV48: mworld,SV88: $i,SV63: $i,SV32: $i,SV97: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2683: mworld] :
( ~ ( mrel @ SV97 @ SY2683 )
| ( qmltpeq @ SV32 @ SV63 @ SY2683 ) )
| ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
| ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(441,plain,
! [SV15: mworld,SV49: mworld,SV89: $i,SV64: $i,SV33: $i,SV98: mworld,SV76: mworld] :
( ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( ~ ~ ( ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV98 @ SY2686 )
| ( qmltpeq @ SV33 @ SV64 @ SY2686 ) )
| ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
| ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(442,plain,
! [SV34: $i,SV65: $i,SV50: mworld,SV16: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
| ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) ) )
= $false )
| ( ( ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[423]) ).
thf(443,plain,
! [SV34: $i,SV65: $i,SV50: mworld,SV16: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
| ! [SY2698: $i] :
( ~ ( eiw_di @ SY2698 @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
| ! [SY2699: mworld] :
( ~ ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ SY2699 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2699 @ SY2328 )
| ( member @ SY2698 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2699 @ SY2546 )
| ( member @ SY2698 @ SV65 @ SY2546 ) ) ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[424]) ).
thf(444,plain,
! [SV17: mworld,SV51: mworld,SV92: $i,SV66: $i,SV35: $i,SV99: mworld,SV77: mworld] :
( ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( ~ ! [SY2689: mworld] :
( ~ ( mrel @ SV99 @ SY2689 )
| ( qmltpeq @ SV35 @ SV66 @ SY2689 ) )
| ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(445,plain,
! [SV53: mworld,SV19: mworld,SV37: $i,SV67: $i,SV103: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV103 )
| ( qmltpeq @ SV67 @ SV37 @ SV103 ) )
= $true )
| ( ( mrel @ SV78 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(446,plain,
! [SV53: mworld,SV19: mworld,SV37: $i,SV67: $i,SV101: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV101 ) )
= $true )
| ( ( qmltpeq @ SV67 @ SV37 @ SV101 )
= $true )
| ( ( qmltpeq @ SV37 @ SV67 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(447,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV2: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) ) )
= $false )
| ( ( ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(448,plain,
! [SV79: mworld,SV38: mworld,SV2: mworld,SV54: $i,SV22: $i] :
( ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(449,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV2: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(450,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ! [SY2691: $i] :
( ~ ( eiw_di @ SY2691 @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ~ ( ~ ! [SY2692: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2692 )
| ~ ! [SY2231: mworld] :
( ~ ( mrel @ SY2692 @ SY2231 )
| ( member @ SY2691 @ SV22 @ SY2231 ) )
| ! [SY2472: mworld] :
( ~ ( mrel @ SY2692 @ SY2472 )
| ( member @ SY2691 @ SV54 @ SY2472 ) ) )
| ~ ! [SY2695: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2695 )
| ~ ! [SY2474: mworld] :
( ~ ( mrel @ SY2695 @ SY2474 )
| ( member @ SY2691 @ SV54 @ SY2474 ) )
| ! [SY2235: mworld] :
( ~ ( mrel @ SY2695 @ SY2235 )
| ( member @ SY2691 @ SV22 @ SY2235 ) ) ) ) ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(451,plain,
! [SV4: mworld,SV39: mworld,SV68: mworld,SV81: $i,SV55: $i,SV23: $i,SV93: mworld] :
( ( ( ~ ! [SY2672: mworld] :
( ~ ( mrel @ SV93 @ SY2672 )
| ( qmltpeq @ SV23 @ SV55 @ SY2672 ) ) )
= $true )
| ( ( ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(452,plain,
! [SV40: mworld,SV6: mworld,SV56: $i,SV24: $i,SV102: mworld,SV69: mworld] :
( ( ( ~ ( mrel @ SV69 @ SV102 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SV102 )
= $true )
| ( ( mrel @ SV69 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(453,plain,
! [SV40: mworld,SV6: mworld,SV56: $i,SV24: $i,SV100: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ SV100 )
= $false )
| ( ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SV100 )
= $true )
| ( ( subset @ SV24 @ SV56 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
= $false )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(454,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV104: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV104 )
| ~ ! [SY2702: mworld] :
( ~ ( mrel @ SV104 @ SY2702 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2702 ) )
| ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(455,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV105: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV105 )
| ~ ( ! [SY2705: mworld] :
( ~ ( mrel @ SV105 @ SY2705 )
| ( member @ SV82 @ SV26 @ SY2705 ) )
| ! [SY2706: mworld] :
( ~ ( mrel @ SV105 @ SY2706 )
| ( member @ SV82 @ SV58 @ SY2706 ) ) )
| ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(456,plain,
! [SV27: $i,SV59: $i,SV43: mworld,SV9: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(457,plain,
! [SV83: mworld,SV43: mworld,SV9: mworld,SV59: $i,SV27: $i] :
( ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(458,plain,
! [SV9: mworld,SV43: mworld,SV59: $i,SV27: $i,SV84: mworld] :
( ( ( ~ ! [SY2634: mworld] :
( ~ ( mrel @ SV84 @ SY2634 )
| ( subset @ SV27 @ SV59 @ SY2634 ) ) )
= $true )
| ( ( ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(459,plain,
! [SV10: mworld,SV44: mworld,SV72: mworld,SV85: $i,SV60: $i,SV28: $i,SV94: mworld] :
( ( ( ~ ~ ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV94 @ SY2674 )
| ( qmltpeq @ SV28 @ SV60 @ SY2674 ) )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(460,plain,
! [SV11: mworld,SV45: mworld,SV73: mworld,SV86: $i,SV61: $i,SV29: $i,SV95: mworld] :
( ( ( ~ ~ ( ~ ! [SY2677: mworld] :
( ~ ( mrel @ SV95 @ SY2677 )
| ( qmltpeq @ SV29 @ SV61 @ SY2677 ) )
| ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(461,plain,
! [SV13: mworld,SV47: mworld,SV74: mworld,SV87: $i,SV62: $i,SV31: $i,SV96: mworld] :
( ( ( ~ ~ ( ~ ! [SY2680: mworld] :
( ~ ( mrel @ SV96 @ SY2680 )
| ( qmltpeq @ SV31 @ SV62 @ SY2680 ) )
| ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(462,plain,
! [SV14: mworld,SV48: mworld,SV75: mworld,SV88: $i,SV63: $i,SV32: $i,SV97: mworld] :
( ( ( ~ ~ ( ~ ! [SY2683: mworld] :
( ~ ( mrel @ SV97 @ SY2683 )
| ( qmltpeq @ SV32 @ SV63 @ SY2683 ) )
| ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(463,plain,
! [SV15: mworld,SV49: mworld,SV76: mworld,SV89: $i,SV64: $i,SV33: $i,SV98: mworld] :
( ( ( ~ ~ ( ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV98 @ SY2686 )
| ( qmltpeq @ SV33 @ SV64 @ SY2686 ) )
| ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(464,plain,
! [SV34: $i,SV65: $i,SV50: mworld,SV16: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) ) )
= $false )
| ( ( ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(465,plain,
! [SV90: mworld,SV50: mworld,SV16: mworld,SV65: $i,SV34: $i] :
( ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(466,plain,
! [SV34: $i,SV65: $i,SV50: mworld,SV16: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(467,plain,
! [SV91: mworld,SV34: $i,SV65: $i,SV50: mworld,SV16: mworld] :
( ( ( ! [SY2698: $i] :
( ~ ( eiw_di @ SY2698 @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
| ! [SY2699: mworld] :
( ~ ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ SY2699 )
| ~ ! [SY2328: mworld] :
( ~ ( mrel @ SY2699 @ SY2328 )
| ( member @ SY2698 @ SV34 @ SY2328 ) )
| ! [SY2546: mworld] :
( ~ ( mrel @ SY2699 @ SY2546 )
| ( member @ SY2698 @ SV65 @ SY2546 ) ) ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(468,plain,
! [SV17: mworld,SV51: mworld,SV77: mworld,SV92: $i,SV66: $i,SV35: $i,SV99: mworld] :
( ( ( ~ ! [SY2689: mworld] :
( ~ ( mrel @ SV99 @ SY2689 )
| ( qmltpeq @ SV35 @ SV66 @ SY2689 ) ) )
= $true )
| ( ( ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(469,plain,
! [SV53: mworld,SV19: mworld,SV37: $i,SV67: $i,SV103: mworld,SV78: mworld] :
( ( ( ~ ( mrel @ SV78 @ SV103 ) )
= $true )
| ( ( qmltpeq @ SV67 @ SV37 @ SV103 )
= $true )
| ( ( mrel @ SV78 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(470,plain,
! [SV53: mworld,SV19: mworld,SV37: $i,SV67: $i,SV101: mworld,SV78: mworld] :
( ( ( mrel @ SV78 @ SV101 )
= $false )
| ( ( qmltpeq @ SV67 @ SV37 @ SV101 )
= $true )
| ( ( qmltpeq @ SV37 @ SV67 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
= $false )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(471,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV2: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( ! [SY2603: mworld] :
( ~ ( mrel @ SV79 @ SY2603 )
| ! [SY2460: $i] :
( ~ ( eiw_di @ SY2460 @ SY2603 )
| ~ ( ~ ! [SY2461: mworld] :
( ~ ( mrel @ SY2603 @ SY2461 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2461 @ SY2222 )
| ( member @ SY2460 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2461 @ SY2463 )
| ( member @ SY2460 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2464: mworld] :
( ~ ( mrel @ SY2603 @ SY2464 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2464 @ SY2465 )
| ( member @ SY2460 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2464 @ SY2226 )
| ( member @ SY2460 @ SV22 @ SY2226 ) ) ) ) ) ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(472,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV106 )
| ! [SY2708: $i] :
( ~ ( eiw_di @ SY2708 @ SV106 )
| ~ ( ~ ! [SY2709: mworld] :
( ~ ( mrel @ SV106 @ SY2709 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2709 @ SY2222 )
| ( member @ SY2708 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2709 @ SY2463 )
| ( member @ SY2708 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV106 @ SY2712 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2712 @ SY2465 )
| ( member @ SY2708 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2712 @ SY2226 )
| ( member @ SY2708 @ SV22 @ SY2226 ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(473,plain,
! [SV22: $i,SV54: $i,SV38: mworld,SV2: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(474,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( eiw_di @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ~ ( ~ ! [SY2715: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2715 )
| ~ ! [SY2716: mworld] :
( ~ ( mrel @ SY2715 @ SY2716 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2716 ) )
| ! [SY2717: mworld] :
( ~ ( mrel @ SY2715 @ SY2717 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2717 ) ) )
| ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[450]) ).
thf(475,plain,
! [SV4: mworld,SV39: mworld,SV68: mworld,SV81: $i,SV55: $i,SV23: $i,SV93: mworld] :
( ( ( ! [SY2672: mworld] :
( ~ ( mrel @ SV93 @ SY2672 )
| ( qmltpeq @ SV23 @ SV55 @ SY2672 ) ) )
= $false )
| ( ( ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(476,plain,
! [SV40: mworld,SV6: mworld,SV56: $i,SV24: $i,SV102: mworld,SV69: mworld] :
( ( ( mrel @ SV69 @ SV102 )
= $false )
| ( ( qmltpeq @ ( union @ SV24 @ SV56 ) @ SV56 @ SV102 )
= $true )
| ( ( mrel @ SV69 @ ( sK5_SY2560 @ SV6 @ SV40 @ SV56 @ SV24 @ SV69 ) )
= $true )
| ( ( mrel @ SV40 @ SV69 )
= $false )
| ( ( eiw_di @ SV56 @ SV40 )
= $false )
| ( ( mrel @ SV6 @ SV40 )
= $false )
| ( ( eiw_di @ SV24 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(477,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV104: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV104 ) )
= $true )
| ( ( ~ ! [SY2702: mworld] :
( ~ ( mrel @ SV104 @ SY2702 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2702 ) )
| ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(478,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV105: mworld,SV71: mworld] :
( ( ( ~ ( mrel @ SV71 @ SV105 ) )
= $true )
| ( ( ~ ( ! [SY2705: mworld] :
( ~ ( mrel @ SV105 @ SY2705 )
| ( member @ SV82 @ SV26 @ SY2705 ) )
| ! [SY2706: mworld] :
( ~ ( mrel @ SV105 @ SY2706 )
| ( member @ SV82 @ SV58 @ SY2706 ) ) )
| ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(479,plain,
! [SV27: $i,SV59: $i,SV43: mworld,SV9: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( ~ ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(480,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV83: mworld] :
( ( ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) )
= $false )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(481,plain,
! [SV9: mworld,SV43: mworld,SV59: $i,SV27: $i,SV84: mworld] :
( ( ( ! [SY2634: mworld] :
( ~ ( mrel @ SV84 @ SY2634 )
| ( subset @ SV27 @ SV59 @ SY2634 ) ) )
= $false )
| ( ( ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(482,plain,
! [SV10: mworld,SV44: mworld,SV72: mworld,SV85: $i,SV60: $i,SV28: $i,SV94: mworld] :
( ( ( ~ ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV94 @ SY2674 )
| ( qmltpeq @ SV28 @ SV60 @ SY2674 ) )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) ) )
= $false )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(483,plain,
! [SV11: mworld,SV45: mworld,SV73: mworld,SV86: $i,SV61: $i,SV29: $i,SV95: mworld] :
( ( ( ~ ( ~ ! [SY2677: mworld] :
( ~ ( mrel @ SV95 @ SY2677 )
| ( qmltpeq @ SV29 @ SV61 @ SY2677 ) )
| ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) ) )
= $false )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(484,plain,
! [SV13: mworld,SV47: mworld,SV74: mworld,SV87: $i,SV62: $i,SV31: $i,SV96: mworld] :
( ( ( ~ ( ~ ! [SY2680: mworld] :
( ~ ( mrel @ SV96 @ SY2680 )
| ( qmltpeq @ SV31 @ SV62 @ SY2680 ) )
| ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) ) )
= $false )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(485,plain,
! [SV14: mworld,SV48: mworld,SV75: mworld,SV88: $i,SV63: $i,SV32: $i,SV97: mworld] :
( ( ( ~ ( ~ ! [SY2683: mworld] :
( ~ ( mrel @ SV97 @ SY2683 )
| ( qmltpeq @ SV32 @ SV63 @ SY2683 ) )
| ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) ) )
= $false )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(486,plain,
! [SV15: mworld,SV49: mworld,SV76: mworld,SV89: $i,SV64: $i,SV33: $i,SV98: mworld] :
( ( ( ~ ( ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV98 @ SY2686 )
| ( qmltpeq @ SV33 @ SV64 @ SY2686 ) )
| ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) ) )
= $false )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(487,plain,
! [SV34: $i,SV65: $i,SV50: mworld,SV16: mworld,SV90: mworld] :
( ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( ! [SY2658: mworld] :
( ~ ( mrel @ SV90 @ SY2658 )
| ! [SY2537: $i] :
( ~ ( eiw_di @ SY2537 @ SY2658 )
| ! [SY2538: mworld] :
( ~ ( mrel @ SY2658 @ SY2538 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2538 @ SY2322 )
| ( member @ SY2537 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2538 @ SY2540 )
| ( member @ SY2537 @ SV65 @ SY2540 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(488,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV107: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ SV90 @ SV107 )
| ! [SY2721: $i] :
( ~ ( eiw_di @ SY2721 @ SV107 )
| ! [SY2722: mworld] :
( ~ ( mrel @ SV107 @ SY2722 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2722 @ SY2322 )
| ( member @ SY2721 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2722 @ SY2540 )
| ( member @ SY2721 @ SV65 @ SY2540 ) ) ) ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(489,plain,
! [SV34: $i,SV65: $i,SV50: mworld,SV16: mworld,SV91: mworld] :
( ( ( mrel @ SV91 @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(490,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ( eiw_di @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
| ! [SY2725: mworld] :
( ~ ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ SY2725 )
| ~ ! [SY2726: mworld] :
( ~ ( mrel @ SY2725 @ SY2726 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SY2726 ) )
| ! [SY2727: mworld] :
( ~ ( mrel @ SY2725 @ SY2727 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ SY2727 ) ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[467]) ).
thf(491,plain,
! [SV17: mworld,SV51: mworld,SV77: mworld,SV92: $i,SV66: $i,SV35: $i,SV99: mworld] :
( ( ( ! [SY2689: mworld] :
( ~ ( mrel @ SV99 @ SY2689 )
| ( qmltpeq @ SV35 @ SV66 @ SY2689 ) ) )
= $false )
| ( ( ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(492,plain,
! [SV53: mworld,SV19: mworld,SV37: $i,SV67: $i,SV103: mworld,SV78: mworld] :
( ( ( mrel @ SV78 @ SV103 )
= $false )
| ( ( qmltpeq @ SV67 @ SV37 @ SV103 )
= $true )
| ( ( mrel @ SV78 @ ( sK6_SY2600 @ SV19 @ SV53 @ SV67 @ SV37 @ SV78 ) )
= $true )
| ( ( mrel @ SV53 @ SV78 )
= $false )
| ( ( eiw_di @ SV67 @ SV53 )
= $false )
| ( ( mrel @ SV19 @ SV53 )
= $false )
| ( ( eiw_di @ SV37 @ SV19 )
= $false )
| ( ( mrel @ mactual @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(493,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV108 )
| ! [SY2728: $i] :
( ~ ( eiw_di @ SY2728 @ SV108 )
| ~ ( ~ ! [SY2729: mworld] :
( ~ ( mrel @ SV108 @ SY2729 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2729 @ SY2222 )
| ( member @ SY2728 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2729 @ SY2463 )
| ( member @ SY2728 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2732: mworld] :
( ~ ( mrel @ SV108 @ SY2732 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2732 @ SY2465 )
| ( member @ SY2728 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2732 @ SY2226 )
| ( member @ SY2728 @ SV22 @ SY2226 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(494,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV106 ) )
= $true )
| ( ( ! [SY2708: $i] :
( ~ ( eiw_di @ SY2708 @ SV106 )
| ~ ( ~ ! [SY2709: mworld] :
( ~ ( mrel @ SV106 @ SY2709 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2709 @ SY2222 )
| ( member @ SY2708 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2709 @ SY2463 )
| ( member @ SY2708 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV106 @ SY2712 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2712 @ SY2465 )
| ( member @ SY2708 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2712 @ SY2226 )
| ( member @ SY2708 @ SV22 @ SY2226 ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(495,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV109: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV109 )
| ( qmltpeq @ SV22 @ SV54 @ SV109 ) )
= $true )
| ( ( mrel @ SV80 @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(496,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( eiw_di @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(497,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( ~ ! [SY2715: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2715 )
| ~ ! [SY2716: mworld] :
( ~ ( mrel @ SY2715 @ SY2716 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2716 ) )
| ! [SY2717: mworld] :
( ~ ( mrel @ SY2715 @ SY2717 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2717 ) ) )
| ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(498,plain,
! [SV23: $i,SV55: $i,SV81: $i,SV68: mworld,SV39: mworld,SV4: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
| ( qmltpeq @ SV23 @ SV55 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) ) )
= $false )
| ( ( ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[475]) ).
thf(499,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV104: mworld,SV71: mworld] :
( ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( ~ ! [SY2702: mworld] :
( ~ ( mrel @ SV104 @ SY2702 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2702 ) )
| ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(500,plain,
! [SV8: mworld,SV42: mworld,SV58: $i,SV26: $i,SV82: $i,SV105: mworld,SV71: mworld] :
( ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( ~ ( ! [SY2705: mworld] :
( ~ ( mrel @ SV105 @ SY2705 )
| ( member @ SV82 @ SV26 @ SY2705 ) )
| ! [SY2706: mworld] :
( ~ ( mrel @ SV105 @ SY2706 )
| ( member @ SV82 @ SV58 @ SY2706 ) ) )
| ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(501,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV83: mworld] :
( ( ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) )
| ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) )
= $false )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(502,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV83: mworld] :
( ( ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) ) )
= $false )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(503,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV83: mworld] :
( ( ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) )
= $false )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(504,plain,
! [SV27: $i,SV59: $i,SV43: mworld,SV9: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
| ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) ) )
= $false )
| ( ( ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[481]) ).
thf(505,plain,
! [SV10: mworld,SV44: mworld,SV72: mworld,SV85: $i,SV60: $i,SV28: $i,SV94: mworld] :
( ( ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV94 @ SY2674 )
| ( qmltpeq @ SV28 @ SV60 @ SY2674 ) )
| ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(506,plain,
! [SV11: mworld,SV45: mworld,SV73: mworld,SV86: $i,SV61: $i,SV29: $i,SV95: mworld] :
( ( ( ~ ! [SY2677: mworld] :
( ~ ( mrel @ SV95 @ SY2677 )
| ( qmltpeq @ SV29 @ SV61 @ SY2677 ) )
| ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(507,plain,
! [SV13: mworld,SV47: mworld,SV74: mworld,SV87: $i,SV62: $i,SV31: $i,SV96: mworld] :
( ( ( ~ ! [SY2680: mworld] :
( ~ ( mrel @ SV96 @ SY2680 )
| ( qmltpeq @ SV31 @ SV62 @ SY2680 ) )
| ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(508,plain,
! [SV14: mworld,SV48: mworld,SV75: mworld,SV88: $i,SV63: $i,SV32: $i,SV97: mworld] :
( ( ( ~ ! [SY2683: mworld] :
( ~ ( mrel @ SV97 @ SY2683 )
| ( qmltpeq @ SV32 @ SV63 @ SY2683 ) )
| ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(509,plain,
! [SV15: mworld,SV49: mworld,SV76: mworld,SV89: $i,SV64: $i,SV33: $i,SV98: mworld] :
( ( ( ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV98 @ SY2686 )
| ( qmltpeq @ SV33 @ SV64 @ SY2686 ) )
| ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(510,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV110: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ SV90 @ SV110 )
| ! [SY2735: $i] :
( ~ ( eiw_di @ SY2735 @ SV110 )
| ! [SY2736: mworld] :
( ~ ( mrel @ SV110 @ SY2736 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2736 @ SY2322 )
| ( member @ SY2735 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2736 @ SY2540 )
| ( member @ SY2735 @ SV65 @ SY2540 ) ) ) ) )
= $true )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(511,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV107: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ SV90 @ SV107 ) )
= $true )
| ( ( ! [SY2721: $i] :
( ~ ( eiw_di @ SY2721 @ SV107 )
| ! [SY2722: mworld] :
( ~ ( mrel @ SV107 @ SY2722 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2722 @ SY2322 )
| ( member @ SY2721 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2722 @ SY2540 )
| ( member @ SY2721 @ SV65 @ SY2540 ) ) ) ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(512,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV111: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV111 )
| ( subset @ SV34 @ SV65 @ SV111 ) )
= $true )
| ( ( mrel @ SV91 @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(513,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ( eiw_di @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(514,plain,
! [SV91: mworld,SV34: $i,SV65: $i,SV50: mworld,SV16: mworld] :
( ( ( ! [SY2725: mworld] :
( ~ ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ SY2725 )
| ~ ! [SY2726: mworld] :
( ~ ( mrel @ SY2725 @ SY2726 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SY2726 ) )
| ! [SY2727: mworld] :
( ~ ( mrel @ SY2725 @ SY2727 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ SY2727 ) ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(515,plain,
! [SV35: $i,SV66: $i,SV92: $i,SV77: mworld,SV51: mworld,SV17: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
| ( qmltpeq @ SV35 @ SV66 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) ) )
= $false )
| ( ( ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[491]) ).
thf(516,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ SV79 @ SV108 ) )
= $true )
| ( ( ! [SY2728: $i] :
( ~ ( eiw_di @ SY2728 @ SV108 )
| ~ ( ~ ! [SY2729: mworld] :
( ~ ( mrel @ SV108 @ SY2729 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2729 @ SY2222 )
| ( member @ SY2728 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2729 @ SY2463 )
| ( member @ SY2728 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2732: mworld] :
( ~ ( mrel @ SV108 @ SY2732 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2732 @ SY2465 )
| ( member @ SY2728 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2732 @ SY2226 )
| ( member @ SY2728 @ SV22 @ SY2226 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(517,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( ! [SY2708: $i] :
( ~ ( eiw_di @ SY2708 @ SV106 )
| ~ ( ~ ! [SY2709: mworld] :
( ~ ( mrel @ SV106 @ SY2709 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2709 @ SY2222 )
| ( member @ SY2708 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2709 @ SY2463 )
| ( member @ SY2708 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2712: mworld] :
( ~ ( mrel @ SV106 @ SY2712 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2712 @ SY2465 )
| ( member @ SY2708 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2712 @ SY2226 )
| ( member @ SY2708 @ SV22 @ SY2226 ) ) ) ) ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(518,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV109: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV109 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV109 )
= $true )
| ( ( mrel @ SV80 @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(519,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( eiw_di @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(520,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ! [SY2715: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2715 )
| ~ ! [SY2716: mworld] :
( ~ ( mrel @ SY2715 @ SY2716 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2716 ) )
| ! [SY2717: mworld] :
( ~ ( mrel @ SY2715 @ SY2717 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2717 ) ) )
| ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(521,plain,
! [SV23: $i,SV55: $i,SV81: $i,SV68: mworld,SV39: mworld,SV4: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) ) )
= $false )
| ( ( ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(522,plain,
! [SV93: mworld,SV81: $i,SV68: mworld,SV39: mworld,SV4: mworld,SV55: $i,SV23: $i] :
( ( ( qmltpeq @ SV23 @ SV55 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
= $false )
| ( ( ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(523,plain,
! [SV8: mworld,SV42: mworld,SV71: mworld,SV58: $i,SV26: $i,SV82: $i,SV104: mworld] :
( ( ( ~ ! [SY2702: mworld] :
( ~ ( mrel @ SV104 @ SY2702 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2702 ) ) )
= $true )
| ( ( ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(524,plain,
! [SV8: mworld,SV42: mworld,SV71: mworld,SV58: $i,SV26: $i,SV82: $i,SV105: mworld] :
( ( ( ~ ( ! [SY2705: mworld] :
( ~ ( mrel @ SV105 @ SY2705 )
| ( member @ SV82 @ SV26 @ SY2705 ) )
| ! [SY2706: mworld] :
( ~ ( mrel @ SV105 @ SY2706 )
| ( member @ SV82 @ SV58 @ SY2706 ) ) ) )
= $true )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(525,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV83: mworld] :
( ( ( ~ ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) ) )
= $false )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(526,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV83: mworld] :
( ( ( ~ ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) )
= $false )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(527,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV83: mworld] :
( ( ( ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(528,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV83: mworld] :
( ( ( ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(529,plain,
! [SV27: $i,SV59: $i,SV43: mworld,SV9: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) ) )
= $false )
| ( ( ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(530,plain,
! [SV84: mworld,SV43: mworld,SV9: mworld,SV59: $i,SV27: $i] :
( ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(531,plain,
! [SV10: mworld,SV44: mworld,SV72: mworld,SV85: $i,SV60: $i,SV28: $i,SV94: mworld] :
( ( ( ~ ! [SY2674: mworld] :
( ~ ( mrel @ SV94 @ SY2674 )
| ( qmltpeq @ SV28 @ SV60 @ SY2674 ) ) )
= $true )
| ( ( ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(532,plain,
! [SV11: mworld,SV45: mworld,SV73: mworld,SV86: $i,SV61: $i,SV29: $i,SV95: mworld] :
( ( ( ~ ! [SY2677: mworld] :
( ~ ( mrel @ SV95 @ SY2677 )
| ( qmltpeq @ SV29 @ SV61 @ SY2677 ) ) )
= $true )
| ( ( ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(533,plain,
! [SV13: mworld,SV47: mworld,SV74: mworld,SV87: $i,SV62: $i,SV31: $i,SV96: mworld] :
( ( ( ~ ! [SY2680: mworld] :
( ~ ( mrel @ SV96 @ SY2680 )
| ( qmltpeq @ SV31 @ SV62 @ SY2680 ) ) )
= $true )
| ( ( ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(534,plain,
! [SV14: mworld,SV48: mworld,SV75: mworld,SV88: $i,SV63: $i,SV32: $i,SV97: mworld] :
( ( ( ~ ! [SY2683: mworld] :
( ~ ( mrel @ SV97 @ SY2683 )
| ( qmltpeq @ SV32 @ SV63 @ SY2683 ) ) )
= $true )
| ( ( ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(535,plain,
! [SV15: mworld,SV49: mworld,SV76: mworld,SV89: $i,SV64: $i,SV33: $i,SV98: mworld] :
( ( ( ~ ! [SY2686: mworld] :
( ~ ( mrel @ SV98 @ SY2686 )
| ( qmltpeq @ SV33 @ SV64 @ SY2686 ) ) )
= $true )
| ( ( ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(536,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV110: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ SV90 @ SV110 ) )
= $true )
| ( ( ! [SY2735: $i] :
( ~ ( eiw_di @ SY2735 @ SV110 )
| ! [SY2736: mworld] :
( ~ ( mrel @ SV110 @ SY2736 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2736 @ SY2322 )
| ( member @ SY2735 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2736 @ SY2540 )
| ( member @ SY2735 @ SV65 @ SY2540 ) ) ) ) )
= $true )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(537,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV107: mworld,SV90: mworld] :
( ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( ! [SY2721: $i] :
( ~ ( eiw_di @ SY2721 @ SV107 )
| ! [SY2722: mworld] :
( ~ ( mrel @ SV107 @ SY2722 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2722 @ SY2322 )
| ( member @ SY2721 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2722 @ SY2540 )
| ( member @ SY2721 @ SV65 @ SY2540 ) ) ) ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(538,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV111: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV111 ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ SV111 )
= $true )
| ( ( mrel @ SV91 @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(539,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( eiw_di @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(540,plain,
! [SV91: mworld,SV34: $i,SV65: $i,SV50: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) )
| ~ ! [SY2739: mworld] :
( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SY2739 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SY2739 ) )
| ! [SY2740: mworld] :
( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SY2740 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ SY2740 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[514]) ).
thf(541,plain,
! [SV35: $i,SV66: $i,SV92: $i,SV77: mworld,SV51: mworld,SV17: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) ) )
= $false )
| ( ( ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(542,plain,
! [SV99: mworld,SV92: $i,SV77: mworld,SV51: mworld,SV17: mworld,SV66: $i,SV35: $i] :
( ( ( qmltpeq @ SV35 @ SV66 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
= $false )
| ( ( ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(543,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld] :
( ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( ! [SY2728: $i] :
( ~ ( eiw_di @ SY2728 @ SV108 )
| ~ ( ~ ! [SY2729: mworld] :
( ~ ( mrel @ SV108 @ SY2729 )
| ~ ! [SY2222: mworld] :
( ~ ( mrel @ SY2729 @ SY2222 )
| ( member @ SY2728 @ SV22 @ SY2222 ) )
| ! [SY2463: mworld] :
( ~ ( mrel @ SY2729 @ SY2463 )
| ( member @ SY2728 @ SV54 @ SY2463 ) ) )
| ~ ! [SY2732: mworld] :
( ~ ( mrel @ SV108 @ SY2732 )
| ~ ! [SY2465: mworld] :
( ~ ( mrel @ SY2732 @ SY2465 )
| ( member @ SY2728 @ SV54 @ SY2465 ) )
| ! [SY2226: mworld] :
( ~ ( mrel @ SY2732 @ SY2226 )
| ( member @ SY2728 @ SV22 @ SY2226 ) ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(544,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV106: mworld,SV112: $i] :
( ( ( ~ ( eiw_di @ SV112 @ SV106 )
| ~ ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ SV106 @ SY2741 )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ SY2741 @ SY2742 )
| ( member @ SV112 @ SV22 @ SY2742 ) )
| ! [SY2743: mworld] :
( ~ ( mrel @ SY2741 @ SY2743 )
| ( member @ SV112 @ SV54 @ SY2743 ) ) )
| ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV106 @ SY2744 )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SY2744 @ SY2745 )
| ( member @ SV112 @ SV54 @ SY2745 ) )
| ! [SY2746: mworld] :
( ~ ( mrel @ SY2744 @ SY2746 )
| ( member @ SV112 @ SV22 @ SY2746 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(545,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV109: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV109 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV109 )
= $true )
| ( ( mrel @ SV80 @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(546,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV113: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV113 )
| ( qmltpeq @ SV22 @ SV54 @ SV113 ) )
= $true )
| ( ( eiw_di @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(547,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ! [SY2715: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2715 )
| ~ ! [SY2716: mworld] :
( ~ ( mrel @ SY2715 @ SY2716 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2716 ) )
| ! [SY2717: mworld] :
( ~ ( mrel @ SY2715 @ SY2717 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2717 ) ) ) )
= $true )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(548,plain,
! [SV23: $i,SV55: $i,SV81: $i,SV68: mworld,SV39: mworld,SV4: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
= $true )
| ( ( ! [SY2673: mworld] :
( ~ ( mrel @ SV93 @ SY2673 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SY2673 ) ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(549,plain,
! [SV68: mworld,SV39: mworld,SV4: mworld,SV55: $i,SV23: $i,SV81: $i,SV114: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV114 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SV114 ) )
= $true )
| ( ( qmltpeq @ SV23 @ SV55 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
= $false )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(550,plain,
! [SV8: mworld,SV42: mworld,SV71: mworld,SV58: $i,SV26: $i,SV82: $i,SV104: mworld] :
( ( ( ! [SY2702: mworld] :
( ~ ( mrel @ SV104 @ SY2702 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2702 ) ) )
= $false )
| ( ( ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(551,plain,
! [SV8: mworld,SV42: mworld,SV71: mworld,SV58: $i,SV26: $i,SV82: $i,SV105: mworld] :
( ( ( ! [SY2705: mworld] :
( ~ ( mrel @ SV105 @ SY2705 )
| ( member @ SV82 @ SV26 @ SY2705 ) )
| ! [SY2706: mworld] :
( ~ ( mrel @ SV105 @ SY2706 )
| ( member @ SV82 @ SV58 @ SY2706 ) ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(552,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV83: mworld] :
( ( ( ! [SY2632: mworld] :
( ~ ( mrel @ SV83 @ SY2632 )
| ( subset @ SV27 @ SV59 @ SY2632 ) ) )
= $true )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(553,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV83: mworld] :
( ( ( ! [SY2633: mworld] :
( ~ ( mrel @ SV83 @ SY2633 )
| ( subset @ SV59 @ SV27 @ SY2633 ) ) )
= $true )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(554,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV115: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV115 )
| ( subset @ SV27 @ SV59 @ SV115 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(555,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV116: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV116 )
| ( subset @ SV59 @ SV27 @ SV116 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(556,plain,
! [SV27: $i,SV59: $i,SV43: mworld,SV9: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( ~ ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(557,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV84: mworld] :
( ( ( ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $false )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(558,plain,
! [SV10: mworld,SV44: mworld,SV72: mworld,SV85: $i,SV60: $i,SV28: $i,SV94: mworld] :
( ( ( ! [SY2674: mworld] :
( ~ ( mrel @ SV94 @ SY2674 )
| ( qmltpeq @ SV28 @ SV60 @ SY2674 ) ) )
= $false )
| ( ( ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(559,plain,
! [SV11: mworld,SV45: mworld,SV73: mworld,SV86: $i,SV61: $i,SV29: $i,SV95: mworld] :
( ( ( ! [SY2677: mworld] :
( ~ ( mrel @ SV95 @ SY2677 )
| ( qmltpeq @ SV29 @ SV61 @ SY2677 ) ) )
= $false )
| ( ( ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(560,plain,
! [SV13: mworld,SV47: mworld,SV74: mworld,SV87: $i,SV62: $i,SV31: $i,SV96: mworld] :
( ( ( ! [SY2680: mworld] :
( ~ ( mrel @ SV96 @ SY2680 )
| ( qmltpeq @ SV31 @ SV62 @ SY2680 ) ) )
= $false )
| ( ( ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(561,plain,
! [SV14: mworld,SV48: mworld,SV75: mworld,SV88: $i,SV63: $i,SV32: $i,SV97: mworld] :
( ( ( ! [SY2683: mworld] :
( ~ ( mrel @ SV97 @ SY2683 )
| ( qmltpeq @ SV32 @ SV63 @ SY2683 ) ) )
= $false )
| ( ( ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(562,plain,
! [SV15: mworld,SV49: mworld,SV76: mworld,SV89: $i,SV64: $i,SV33: $i,SV98: mworld] :
( ( ( ! [SY2686: mworld] :
( ~ ( mrel @ SV98 @ SY2686 )
| ( qmltpeq @ SV33 @ SV64 @ SY2686 ) ) )
= $false )
| ( ( ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(563,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV110: mworld,SV90: mworld] :
( ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( ! [SY2735: $i] :
( ~ ( eiw_di @ SY2735 @ SV110 )
| ! [SY2736: mworld] :
( ~ ( mrel @ SV110 @ SY2736 )
| ~ ! [SY2322: mworld] :
( ~ ( mrel @ SY2736 @ SY2322 )
| ( member @ SY2735 @ SV34 @ SY2322 ) )
| ! [SY2540: mworld] :
( ~ ( mrel @ SY2736 @ SY2540 )
| ( member @ SY2735 @ SV65 @ SY2540 ) ) ) ) )
= $true )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(564,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV107: mworld,SV117: $i] :
( ( ( ~ ( eiw_di @ SV117 @ SV107 )
| ! [SY2747: mworld] :
( ~ ( mrel @ SV107 @ SY2747 )
| ~ ! [SY2748: mworld] :
( ~ ( mrel @ SY2747 @ SY2748 )
| ( member @ SV117 @ SV34 @ SY2748 ) )
| ! [SY2749: mworld] :
( ~ ( mrel @ SY2747 @ SY2749 )
| ( member @ SV117 @ SV65 @ SY2749 ) ) ) )
= $true )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(565,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV111: mworld,SV91: mworld] :
( ( ( mrel @ SV91 @ SV111 )
= $false )
| ( ( subset @ SV34 @ SV65 @ SV111 )
= $true )
| ( ( mrel @ SV91 @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(566,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV118: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV118 )
| ( subset @ SV34 @ SV65 @ SV118 ) )
= $true )
| ( ( eiw_di @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(567,plain,
! [SV91: mworld,SV34: $i,SV65: $i,SV50: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(568,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ! [SY2739: mworld] :
( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SY2739 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SY2739 ) )
| ! [SY2740: mworld] :
( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SY2740 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ SY2740 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(569,plain,
! [SV35: $i,SV66: $i,SV92: $i,SV77: mworld,SV51: mworld,SV17: mworld,SV99: mworld] :
( ( ( mrel @ SV99 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
= $true )
| ( ( ! [SY2690: mworld] :
( ~ ( mrel @ SV99 @ SY2690 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SY2690 ) ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(570,plain,
! [SV77: mworld,SV51: mworld,SV17: mworld,SV66: $i,SV92: $i,SV35: $i,SV119: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV119 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SV119 ) )
= $true )
| ( ( qmltpeq @ SV35 @ SV66 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
= $false )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(571,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV108: mworld,SV120: $i] :
( ( ( ~ ( eiw_di @ SV120 @ SV108 )
| ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV108 @ SY2750 )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SY2750 @ SY2751 )
| ( member @ SV120 @ SV22 @ SY2751 ) )
| ! [SY2752: mworld] :
( ~ ( mrel @ SY2750 @ SY2752 )
| ( member @ SV120 @ SV54 @ SY2752 ) ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV108 @ SY2753 )
| ~ ! [SY2754: mworld] :
( ~ ( mrel @ SY2753 @ SY2754 )
| ( member @ SV120 @ SV54 @ SY2754 ) )
| ! [SY2755: mworld] :
( ~ ( mrel @ SY2753 @ SY2755 )
| ( member @ SV120 @ SV22 @ SY2755 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(572,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV106: mworld,SV112: $i] :
( ( ( ~ ( eiw_di @ SV112 @ SV106 ) )
= $true )
| ( ( ~ ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ SV106 @ SY2741 )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ SY2741 @ SY2742 )
| ( member @ SV112 @ SV22 @ SY2742 ) )
| ! [SY2743: mworld] :
( ~ ( mrel @ SY2741 @ SY2743 )
| ( member @ SV112 @ SV54 @ SY2743 ) ) )
| ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV106 @ SY2744 )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SY2744 @ SY2745 )
| ( member @ SV112 @ SV54 @ SY2745 ) )
| ! [SY2746: mworld] :
( ~ ( mrel @ SY2744 @ SY2746 )
| ( member @ SV112 @ SV22 @ SY2746 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(573,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV113: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV113 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV113 )
= $true )
| ( ( eiw_di @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(574,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ! [SY2715: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2715 )
| ~ ! [SY2716: mworld] :
( ~ ( mrel @ SY2715 @ SY2716 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2716 ) )
| ! [SY2717: mworld] :
( ~ ( mrel @ SY2715 @ SY2717 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2717 ) ) ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(575,plain,
! [SV68: mworld,SV39: mworld,SV4: mworld,SV55: $i,SV23: $i,SV81: $i,SV121: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV121 )
| ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SV121 ) )
= $true )
| ( ( mrel @ SV93 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(576,plain,
! [SV68: mworld,SV39: mworld,SV4: mworld,SV55: $i,SV23: $i,SV81: $i,SV114: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV114 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SV114 )
= $true )
| ( ( qmltpeq @ SV23 @ SV55 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
= $false )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(577,plain,
! [SV82: $i,SV26: $i,SV58: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) ) )
= $false )
| ( ( ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[550]) ).
thf(578,plain,
! [SV8: mworld,SV42: mworld,SV71: mworld,SV58: $i,SV26: $i,SV82: $i,SV105: mworld] :
( ( ( ! [SY2705: mworld] :
( ~ ( mrel @ SV105 @ SY2705 )
| ( member @ SV82 @ SV26 @ SY2705 ) ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(579,plain,
! [SV8: mworld,SV42: mworld,SV71: mworld,SV26: $i,SV58: $i,SV82: $i,SV105: mworld] :
( ( ( ! [SY2706: mworld] :
( ~ ( mrel @ SV105 @ SY2706 )
| ( member @ SV82 @ SV58 @ SY2706 ) ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(580,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV122: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV122 )
| ( subset @ SV27 @ SV59 @ SV122 ) )
= $true )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(581,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV123: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV123 )
| ( subset @ SV59 @ SV27 @ SV123 ) )
= $true )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(582,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV115: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV115 ) )
= $true )
| ( ( subset @ SV27 @ SV59 @ SV115 )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(583,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV116: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV116 ) )
= $true )
| ( ( subset @ SV59 @ SV27 @ SV116 )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(584,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV84: mworld] :
( ( ( ! [SY2635: mworld] :
( ~ ( mrel @ SV84 @ SY2635 )
| ( subset @ SV59 @ SV27 @ SY2635 ) ) )
= $false )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(585,plain,
! [SV59: $i,SV27: $i,SV9: mworld,SV43: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
| ( subset @ SV59 @ SV27 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) ) )
= $false )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[557]) ).
thf(586,plain,
! [SV28: $i,SV60: $i,SV85: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
| ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) ) )
= $false )
| ( ( ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[558]) ).
thf(587,plain,
! [SV29: $i,SV61: $i,SV86: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
| ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) ) )
= $false )
| ( ( ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[559]) ).
thf(588,plain,
! [SV31: $i,SV62: $i,SV87: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
| ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) ) )
= $false )
| ( ( ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[560]) ).
thf(589,plain,
! [SV32: $i,SV63: $i,SV88: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
| ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) ) )
= $false )
| ( ( ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[561]) ).
thf(590,plain,
! [SV33: $i,SV64: $i,SV89: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
| ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) ) )
= $false )
| ( ( ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[562]) ).
thf(591,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV110: mworld,SV124: $i] :
( ( ( ~ ( eiw_di @ SV124 @ SV110 )
| ! [SY2756: mworld] :
( ~ ( mrel @ SV110 @ SY2756 )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SY2756 @ SY2757 )
| ( member @ SV124 @ SV34 @ SY2757 ) )
| ! [SY2758: mworld] :
( ~ ( mrel @ SY2756 @ SY2758 )
| ( member @ SV124 @ SV65 @ SY2758 ) ) ) )
= $true )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(592,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV107: mworld,SV117: $i] :
( ( ( ~ ( eiw_di @ SV117 @ SV107 ) )
= $true )
| ( ( ! [SY2747: mworld] :
( ~ ( mrel @ SV107 @ SY2747 )
| ~ ! [SY2748: mworld] :
( ~ ( mrel @ SY2747 @ SY2748 )
| ( member @ SV117 @ SV34 @ SY2748 ) )
| ! [SY2749: mworld] :
( ~ ( mrel @ SY2747 @ SY2749 )
| ( member @ SV117 @ SV65 @ SY2749 ) ) ) )
= $true )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(593,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV118: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV118 ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ SV118 )
= $true )
| ( ( eiw_di @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(594,plain,
! [SV91: mworld,SV34: $i,SV65: $i,SV50: mworld,SV16: mworld] :
( ( ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(595,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ! [SY2739: mworld] :
( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SY2739 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SY2739 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(596,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ! [SY2740: mworld] :
( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SY2740 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ SY2740 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(597,plain,
! [SV77: mworld,SV51: mworld,SV17: mworld,SV66: $i,SV92: $i,SV35: $i,SV125: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV125 )
| ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SV125 ) )
= $true )
| ( ( mrel @ SV99 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(598,plain,
! [SV77: mworld,SV51: mworld,SV17: mworld,SV66: $i,SV92: $i,SV35: $i,SV119: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV119 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SV119 )
= $true )
| ( ( qmltpeq @ SV35 @ SV66 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
= $false )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(599,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV108: mworld,SV120: $i] :
( ( ( ~ ( eiw_di @ SV120 @ SV108 ) )
= $true )
| ( ( ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV108 @ SY2750 )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SY2750 @ SY2751 )
| ( member @ SV120 @ SV22 @ SY2751 ) )
| ! [SY2752: mworld] :
( ~ ( mrel @ SY2750 @ SY2752 )
| ( member @ SV120 @ SV54 @ SY2752 ) ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV108 @ SY2753 )
| ~ ! [SY2754: mworld] :
( ~ ( mrel @ SY2753 @ SY2754 )
| ( member @ SV120 @ SV54 @ SY2754 ) )
| ! [SY2755: mworld] :
( ~ ( mrel @ SY2753 @ SY2755 )
| ( member @ SV120 @ SV22 @ SY2755 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(600,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV106: mworld,SV112: $i] :
( ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( ~ ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ SV106 @ SY2741 )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ SY2741 @ SY2742 )
| ( member @ SV112 @ SV22 @ SY2742 ) )
| ! [SY2743: mworld] :
( ~ ( mrel @ SY2741 @ SY2743 )
| ( member @ SV112 @ SV54 @ SY2743 ) ) )
| ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV106 @ SY2744 )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SY2744 @ SY2745 )
| ( member @ SV112 @ SV54 @ SY2745 ) )
| ! [SY2746: mworld] :
( ~ ( mrel @ SY2744 @ SY2746 )
| ( member @ SV112 @ SV22 @ SY2746 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(601,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV113: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV113 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV113 )
= $true )
| ( ( eiw_di @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(602,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
| ~ ! [SY2759: mworld] :
( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2759 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2759 ) )
| ! [SY2760: mworld] :
( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2760 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2760 ) ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[574]) ).
thf(603,plain,
! [SV68: mworld,SV39: mworld,SV4: mworld,SV55: $i,SV23: $i,SV81: $i,SV121: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV121 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SV121 )
= $true )
| ( ( mrel @ SV93 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(604,plain,
! [SV68: mworld,SV39: mworld,SV4: mworld,SV55: $i,SV23: $i,SV81: $i,SV114: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ SV114 )
= $false )
| ( ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SV114 )
= $true )
| ( ( qmltpeq @ SV23 @ SV55 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
= $false )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(605,plain,
! [SV82: $i,SV26: $i,SV58: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) ) )
= $false )
| ( ( ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(606,plain,
! [SV104: mworld,SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i] :
( ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $false )
| ( ( ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(607,plain,
! [SV82: $i,SV26: $i,SV58: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
| ( member @ SV82 @ SV26 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[578]) ).
thf(608,plain,
! [SV82: $i,SV58: $i,SV26: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
| ( member @ SV82 @ SV58 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[579]) ).
thf(609,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV122: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV122 ) )
= $true )
| ( ( subset @ SV27 @ SV59 @ SV122 )
= $true )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(610,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV123: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ SV83 @ SV123 ) )
= $true )
| ( ( subset @ SV59 @ SV27 @ SV123 )
= $true )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(611,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV115: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV115 )
= $false )
| ( ( subset @ SV27 @ SV59 @ SV115 )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(612,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV116: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV116 )
= $false )
| ( ( subset @ SV59 @ SV27 @ SV116 )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $false )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(613,plain,
! [SV59: $i,SV27: $i,SV9: mworld,SV43: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
| ( subset @ SV59 @ SV27 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) ) )
= $false )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[584]) ).
thf(614,plain,
! [SV59: $i,SV27: $i,SV9: mworld,SV43: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) ) )
= $false )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(615,plain,
! [SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV59: $i] :
( ( ( subset @ SV59 @ SV27 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $false )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(616,plain,
! [SV28: $i,SV60: $i,SV85: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) ) )
= $false )
| ( ( ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(617,plain,
! [SV94: mworld,SV85: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV60: $i,SV28: $i] :
( ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(618,plain,
! [SV29: $i,SV61: $i,SV86: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) ) )
= $false )
| ( ( ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(619,plain,
! [SV95: mworld,SV86: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV61: $i,SV29: $i] :
( ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(620,plain,
! [SV31: $i,SV62: $i,SV87: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) ) )
= $false )
| ( ( ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(621,plain,
! [SV96: mworld,SV87: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV62: $i,SV31: $i] :
( ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(622,plain,
! [SV32: $i,SV63: $i,SV88: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) ) )
= $false )
| ( ( ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(623,plain,
! [SV97: mworld,SV88: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV63: $i,SV32: $i] :
( ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(624,plain,
! [SV33: $i,SV64: $i,SV89: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) ) )
= $false )
| ( ( ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(625,plain,
! [SV98: mworld,SV89: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV64: $i,SV33: $i] :
( ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(626,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV110: mworld,SV124: $i] :
( ( ( ~ ( eiw_di @ SV124 @ SV110 ) )
= $true )
| ( ( ! [SY2756: mworld] :
( ~ ( mrel @ SV110 @ SY2756 )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SY2756 @ SY2757 )
| ( member @ SV124 @ SV34 @ SY2757 ) )
| ! [SY2758: mworld] :
( ~ ( mrel @ SY2756 @ SY2758 )
| ( member @ SV124 @ SV65 @ SY2758 ) ) ) )
= $true )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(627,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV107: mworld,SV117: $i] :
( ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( ! [SY2747: mworld] :
( ~ ( mrel @ SV107 @ SY2747 )
| ~ ! [SY2748: mworld] :
( ~ ( mrel @ SY2747 @ SY2748 )
| ( member @ SV117 @ SV34 @ SY2748 ) )
| ! [SY2749: mworld] :
( ~ ( mrel @ SY2747 @ SY2749 )
| ( member @ SV117 @ SV65 @ SY2749 ) ) ) )
= $true )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(628,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV118: mworld,SV91: mworld] :
( ( ( mrel @ SV91 @ SV118 )
= $false )
| ( ( subset @ SV34 @ SV65 @ SV118 )
= $true )
| ( ( eiw_di @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(629,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV126: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV126 )
| ( subset @ SV34 @ SV65 @ SV126 ) )
= $true )
| ( ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(630,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ! [SY2739: mworld] :
( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SY2739 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SY2739 ) ) )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(631,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[596]) ).
thf(632,plain,
! [SV77: mworld,SV51: mworld,SV17: mworld,SV66: $i,SV92: $i,SV35: $i,SV125: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV125 ) )
= $true )
| ( ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SV125 )
= $true )
| ( ( mrel @ SV99 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(633,plain,
! [SV77: mworld,SV51: mworld,SV17: mworld,SV66: $i,SV92: $i,SV35: $i,SV119: mworld,SV99: mworld] :
( ( ( mrel @ SV99 @ SV119 )
= $false )
| ( ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SV119 )
= $true )
| ( ( qmltpeq @ SV35 @ SV66 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
= $false )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(634,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV108: mworld,SV120: $i] :
( ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( ~ ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV108 @ SY2750 )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SY2750 @ SY2751 )
| ( member @ SV120 @ SV22 @ SY2751 ) )
| ! [SY2752: mworld] :
( ~ ( mrel @ SY2750 @ SY2752 )
| ( member @ SV120 @ SV54 @ SY2752 ) ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV108 @ SY2753 )
| ~ ! [SY2754: mworld] :
( ~ ( mrel @ SY2753 @ SY2754 )
| ( member @ SV120 @ SV54 @ SY2754 ) )
| ! [SY2755: mworld] :
( ~ ( mrel @ SY2753 @ SY2755 )
| ( member @ SV120 @ SV22 @ SY2755 ) ) ) ) )
= $true )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(635,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV106: mworld] :
( ( ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ SV106 @ SY2741 )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ SY2741 @ SY2742 )
| ( member @ SV112 @ SV22 @ SY2742 ) )
| ! [SY2743: mworld] :
( ~ ( mrel @ SY2741 @ SY2743 )
| ( member @ SV112 @ SV54 @ SY2743 ) ) )
| ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV106 @ SY2744 )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SY2744 @ SY2745 )
| ( member @ SV112 @ SV54 @ SY2745 ) )
| ! [SY2746: mworld] :
( ~ ( mrel @ SY2744 @ SY2746 )
| ( member @ SV112 @ SV22 @ SY2746 ) ) ) )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(636,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(637,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2759: mworld] :
( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2759 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2759 ) )
| ! [SY2760: mworld] :
( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2760 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2760 ) ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(638,plain,
! [SV68: mworld,SV39: mworld,SV4: mworld,SV55: $i,SV23: $i,SV81: $i,SV121: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ SV121 )
= $false )
| ( ( qmltpeq @ ( union @ SV81 @ SV23 ) @ ( union @ SV81 @ SV55 ) @ SV121 )
= $true )
| ( ( mrel @ SV93 @ ( sK14_SY2672 @ SV4 @ SV39 @ SV68 @ SV81 @ SV55 @ SV23 @ SV93 ) )
= $true )
| ( ( mrel @ SV68 @ SV93 )
= $false )
| ( ( eiw_di @ SV81 @ SV68 )
= $false )
| ( ( mrel @ SV39 @ SV68 )
= $false )
| ( ( eiw_di @ SV55 @ SV39 )
= $false )
| ( ( mrel @ SV4 @ SV39 )
= $false )
| ( ( eiw_di @ SV23 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(639,plain,
! [SV82: $i,SV26: $i,SV58: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $true )
| ( ( ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) )
| ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(640,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV104: mworld] :
( ( ( ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) ) )
= $true )
| ( ( ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $false )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(641,plain,
! [SV82: $i,SV26: $i,SV58: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(642,plain,
! [SV105: mworld,SV58: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV26: $i,SV82: $i] :
( ( ( member @ SV82 @ SV26 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(643,plain,
! [SV82: $i,SV58: $i,SV26: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(644,plain,
! [SV105: mworld,SV26: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV82: $i] :
( ( ( member @ SV82 @ SV58 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
= $false )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(645,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV122: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV122 )
= $false )
| ( ( subset @ SV27 @ SV59 @ SV122 )
= $true )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(646,plain,
! [SV43: mworld,SV9: mworld,SV27: $i,SV59: $i,SV123: mworld,SV83: mworld] :
( ( ( mrel @ SV83 @ SV123 )
= $false )
| ( ( subset @ SV59 @ SV27 @ SV123 )
= $true )
| ( ( mrel @ SV83 @ ( sK9_SY2631 @ SV9 @ SV43 @ SV59 @ SV27 @ SV83 ) )
= $true )
| ( ( mrel @ SV43 @ SV83 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(647,plain,
! [SV59: $i,SV27: $i,SV9: mworld,SV43: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) ) )
= $false )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(648,plain,
! [SV84: mworld,SV9: mworld,SV43: mworld,SV27: $i,SV59: $i] :
( ( ( subset @ SV59 @ SV27 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $false )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(649,plain,
! [SV59: $i,SV27: $i,SV9: mworld,SV43: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $true )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(650,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV127: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV127 )
| ( qmltpeq @ SV27 @ SV59 @ SV127 ) )
= $true )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( subset @ SV59 @ SV27 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(651,plain,
! [SV28: $i,SV60: $i,SV85: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( ~ ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(652,plain,
! [SV72: mworld,SV44: mworld,SV10: mworld,SV60: $i,SV28: $i,SV85: $i,SV94: mworld] :
( ( ( ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $false )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(653,plain,
! [SV29: $i,SV61: $i,SV86: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( ~ ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(654,plain,
! [SV73: mworld,SV45: mworld,SV11: mworld,SV29: $i,SV86: $i,SV61: $i,SV95: mworld] :
( ( ( ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $false )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(655,plain,
! [SV31: $i,SV62: $i,SV87: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( ~ ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(656,plain,
! [SV74: mworld,SV47: mworld,SV13: mworld,SV62: $i,SV31: $i,SV87: $i,SV96: mworld] :
( ( ( ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $false )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(657,plain,
! [SV32: $i,SV63: $i,SV88: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( ~ ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(658,plain,
! [SV75: mworld,SV48: mworld,SV14: mworld,SV63: $i,SV88: $i,SV32: $i,SV97: mworld] :
( ( ( ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $false )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(659,plain,
! [SV33: $i,SV64: $i,SV89: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( ~ ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(660,plain,
! [SV76: mworld,SV49: mworld,SV15: mworld,SV64: $i,SV89: $i,SV33: $i,SV98: mworld] :
( ( ( ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $false )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(661,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV110: mworld,SV124: $i] :
( ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( ! [SY2756: mworld] :
( ~ ( mrel @ SV110 @ SY2756 )
| ~ ! [SY2757: mworld] :
( ~ ( mrel @ SY2756 @ SY2757 )
| ( member @ SV124 @ SV34 @ SY2757 ) )
| ! [SY2758: mworld] :
( ~ ( mrel @ SY2756 @ SY2758 )
| ( member @ SV124 @ SV65 @ SY2758 ) ) ) )
= $true )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(662,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV117: $i,SV128: mworld,SV107: mworld] :
( ( ( ~ ( mrel @ SV107 @ SV128 )
| ~ ! [SY2761: mworld] :
( ~ ( mrel @ SV128 @ SY2761 )
| ( member @ SV117 @ SV34 @ SY2761 ) )
| ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(663,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV126: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV126 ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ SV126 )
= $true )
| ( ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(664,plain,
! [SV129: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV129 )
| ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SV129 ) )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(665,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(666,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $false )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(667,plain,
! [SV77: mworld,SV51: mworld,SV17: mworld,SV66: $i,SV92: $i,SV35: $i,SV125: mworld,SV99: mworld] :
( ( ( mrel @ SV99 @ SV125 )
= $false )
| ( ( qmltpeq @ ( union @ SV35 @ SV92 ) @ ( union @ SV66 @ SV92 ) @ SV125 )
= $true )
| ( ( mrel @ SV99 @ ( sK16_SY2689 @ SV17 @ SV51 @ SV77 @ SV92 @ SV66 @ SV35 @ SV99 ) )
= $true )
| ( ( mrel @ SV77 @ SV99 )
= $false )
| ( ( eiw_di @ SV92 @ SV77 )
= $false )
| ( ( mrel @ SV51 @ SV77 )
= $false )
| ( ( eiw_di @ SV66 @ SV51 )
= $false )
| ( ( mrel @ SV17 @ SV51 )
= $false )
| ( ( eiw_di @ SV35 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(668,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV108: mworld] :
( ( ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV108 @ SY2750 )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SY2750 @ SY2751 )
| ( member @ SV120 @ SV22 @ SY2751 ) )
| ! [SY2752: mworld] :
( ~ ( mrel @ SY2750 @ SY2752 )
| ( member @ SV120 @ SV54 @ SY2752 ) ) )
| ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV108 @ SY2753 )
| ~ ! [SY2754: mworld] :
( ~ ( mrel @ SY2753 @ SY2754 )
| ( member @ SV120 @ SV54 @ SY2754 ) )
| ! [SY2755: mworld] :
( ~ ( mrel @ SY2753 @ SY2755 )
| ( member @ SV120 @ SV22 @ SY2755 ) ) ) )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(669,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV106: mworld] :
( ( ( ~ ! [SY2741: mworld] :
( ~ ( mrel @ SV106 @ SY2741 )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ SY2741 @ SY2742 )
| ( member @ SV112 @ SV22 @ SY2742 ) )
| ! [SY2743: mworld] :
( ~ ( mrel @ SY2741 @ SY2743 )
| ( member @ SV112 @ SV54 @ SY2743 ) ) ) )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(670,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV106: mworld] :
( ( ( ~ ! [SY2744: mworld] :
( ~ ( mrel @ SV106 @ SY2744 )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SY2744 @ SY2745 )
| ( member @ SV112 @ SV54 @ SY2745 ) )
| ! [SY2746: mworld] :
( ~ ( mrel @ SY2744 @ SY2746 )
| ( member @ SV112 @ SV22 @ SY2746 ) ) ) )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(671,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(672,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2759: mworld] :
( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2759 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2759 ) ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(673,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2760: mworld] :
( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2760 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2760 ) ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(674,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV104: mworld] :
( ( ( ! [SY2703: mworld] :
( ~ ( mrel @ SV104 @ SY2703 )
| ( member @ SV82 @ SV26 @ SY2703 ) ) )
= $true )
| ( ( ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(675,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV130: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV130 )
| ( member @ SV82 @ SV26 @ SV130 ) )
= $true )
| ( ( ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $false )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(676,plain,
! [SV82: $i,SV26: $i,SV58: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
= $true )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(677,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV131: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV131 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV131 ) )
= $true )
| ( ( member @ SV82 @ SV26 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
= $false )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(678,plain,
! [SV82: $i,SV58: $i,SV26: $i,SV71: mworld,SV42: mworld,SV8: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
= $true )
| ( ( ! [SY2707: mworld] :
( ~ ( mrel @ SV105 @ SY2707 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SY2707 ) ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(679,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV132: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV132 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV132 ) )
= $true )
| ( ( member @ SV82 @ SV58 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
= $false )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(680,plain,
! [SV59: $i,SV27: $i,SV9: mworld,SV43: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $true )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( ! [SY2636: mworld] :
( ~ ( mrel @ SV84 @ SY2636 )
| ( qmltpeq @ SV27 @ SV59 @ SY2636 ) ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(681,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV133: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV133 )
| ( qmltpeq @ SV27 @ SV59 @ SV133 ) )
= $true )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( subset @ SV59 @ SV27 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(682,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV134: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV134 )
| ( qmltpeq @ SV27 @ SV59 @ SV134 ) )
= $true )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV84 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(683,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV127: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV127 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ SV127 )
= $true )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( subset @ SV59 @ SV27 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(684,plain,
! [SV60: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV85: $i,SV94: mworld] :
( ( ( ! [SY2675: mworld] :
( ~ ( mrel @ SV94 @ SY2675 )
| ( member @ SV85 @ SV28 @ SY2675 ) ) )
= $false )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(685,plain,
! [SV85: $i,SV28: $i,SV60: $i,SV10: mworld,SV44: mworld,SV72: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
| ( member @ SV85 @ SV28 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) ) )
= $false )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[652]) ).
thf(686,plain,
! [SV29: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV86: $i,SV61: $i,SV95: mworld] :
( ( ( ! [SY2678: mworld] :
( ~ ( mrel @ SV95 @ SY2678 )
| ( qmltpeq @ SV61 @ SV86 @ SY2678 ) ) )
= $false )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(687,plain,
! [SV61: $i,SV86: $i,SV29: $i,SV11: mworld,SV45: mworld,SV73: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
| ( qmltpeq @ SV61 @ SV86 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) ) )
= $false )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[654]) ).
thf(688,plain,
! [SV62: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV31: $i,SV87: $i,SV96: mworld] :
( ( ( ! [SY2681: mworld] :
( ~ ( mrel @ SV96 @ SY2681 )
| ( subset @ SV87 @ SV31 @ SY2681 ) ) )
= $false )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(689,plain,
! [SV87: $i,SV31: $i,SV62: $i,SV13: mworld,SV47: mworld,SV74: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
| ( subset @ SV87 @ SV31 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) ) )
= $false )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[656]) ).
thf(690,plain,
! [SV63: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV88: $i,SV32: $i,SV97: mworld] :
( ( ( ! [SY2684: mworld] :
( ~ ( mrel @ SV97 @ SY2684 )
| ( member @ SV32 @ SV88 @ SY2684 ) ) )
= $false )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(691,plain,
! [SV32: $i,SV88: $i,SV63: $i,SV14: mworld,SV48: mworld,SV75: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
| ( member @ SV32 @ SV88 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) ) )
= $false )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[658]) ).
thf(692,plain,
! [SV64: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV89: $i,SV33: $i,SV98: mworld] :
( ( ( ! [SY2687: mworld] :
( ~ ( mrel @ SV98 @ SY2687 )
| ( subset @ SV33 @ SV89 @ SY2687 ) ) )
= $false )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(693,plain,
! [SV33: $i,SV89: $i,SV64: $i,SV15: mworld,SV49: mworld,SV76: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
| ( subset @ SV33 @ SV89 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) ) )
= $false )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[660]) ).
thf(694,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV124: $i,SV135: mworld,SV110: mworld] :
( ( ( ~ ( mrel @ SV110 @ SV135 )
| ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV135 @ SY2763 )
| ( member @ SV124 @ SV34 @ SY2763 ) )
| ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(695,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV117: $i,SV128: mworld,SV107: mworld] :
( ( ( ~ ( mrel @ SV107 @ SV128 ) )
= $true )
| ( ( ~ ! [SY2761: mworld] :
( ~ ( mrel @ SV128 @ SY2761 )
| ( member @ SV117 @ SV34 @ SY2761 ) )
| ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(696,plain,
! [SV50: mworld,SV16: mworld,SV65: $i,SV34: $i,SV126: mworld,SV91: mworld] :
( ( ( mrel @ SV91 @ SV126 )
= $false )
| ( ( subset @ SV34 @ SV65 @ SV126 )
= $true )
| ( ( mrel @ ( sK11_SY2663 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(697,plain,
! [SV129: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV129 ) )
= $true )
| ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SV129 )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(698,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(699,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV136: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV136 )
| ( subset @ SV34 @ SV65 @ SV136 ) )
= $true )
| ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $false )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(700,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV108: mworld] :
( ( ( ~ ! [SY2750: mworld] :
( ~ ( mrel @ SV108 @ SY2750 )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SY2750 @ SY2751 )
| ( member @ SV120 @ SV22 @ SY2751 ) )
| ! [SY2752: mworld] :
( ~ ( mrel @ SY2750 @ SY2752 )
| ( member @ SV120 @ SV54 @ SY2752 ) ) ) )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(701,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV108: mworld] :
( ( ( ~ ! [SY2753: mworld] :
( ~ ( mrel @ SV108 @ SY2753 )
| ~ ! [SY2754: mworld] :
( ~ ( mrel @ SY2753 @ SY2754 )
| ( member @ SV120 @ SV54 @ SY2754 ) )
| ! [SY2755: mworld] :
( ~ ( mrel @ SY2753 @ SY2755 )
| ( member @ SV120 @ SV22 @ SY2755 ) ) ) )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(702,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV106: mworld] :
( ( ( ! [SY2741: mworld] :
( ~ ( mrel @ SV106 @ SY2741 )
| ~ ! [SY2742: mworld] :
( ~ ( mrel @ SY2741 @ SY2742 )
| ( member @ SV112 @ SV22 @ SY2742 ) )
| ! [SY2743: mworld] :
( ~ ( mrel @ SY2741 @ SY2743 )
| ( member @ SV112 @ SV54 @ SY2743 ) ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(703,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV106: mworld] :
( ( ( ! [SY2744: mworld] :
( ~ ( mrel @ SV106 @ SY2744 )
| ~ ! [SY2745: mworld] :
( ~ ( mrel @ SY2744 @ SY2745 )
| ( member @ SV112 @ SV54 @ SY2745 ) )
| ! [SY2746: mworld] :
( ~ ( mrel @ SY2744 @ SY2746 )
| ( member @ SV112 @ SV22 @ SY2746 ) ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(704,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(705,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2759: mworld] :
( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2759 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2759 ) ) )
= $true )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(706,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[673]) ).
thf(707,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV137: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV137 )
| ( member @ SV82 @ SV26 @ SV137 ) )
= $true )
| ( ( ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(708,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV130: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV130 ) )
= $true )
| ( ( member @ SV82 @ SV26 @ SV130 )
= $true )
| ( ( ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $false )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(709,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV138: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV138 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV138 ) )
= $true )
| ( ( mrel @ SV105 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(710,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV131: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV131 ) )
= $true )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV131 )
= $true )
| ( ( member @ SV82 @ SV26 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
= $false )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(711,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV139: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV139 )
| ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV139 ) )
= $true )
| ( ( mrel @ SV105 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(712,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV132: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV132 ) )
= $true )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV132 )
= $true )
| ( ( member @ SV82 @ SV58 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
= $false )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(713,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV140: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV140 )
| ( qmltpeq @ SV27 @ SV59 @ SV140 ) )
= $true )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV84 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(714,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV133: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV133 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ SV133 )
= $true )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( subset @ SV59 @ SV27 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(715,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV134: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV134 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ SV134 )
= $true )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV84 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(716,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV127: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ SV127 )
= $false )
| ( ( qmltpeq @ SV27 @ SV59 @ SV127 )
= $true )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( subset @ SV59 @ SV27 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(717,plain,
! [SV85: $i,SV28: $i,SV10: mworld,SV44: mworld,SV72: mworld,SV60: $i,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
| ( member @ SV85 @ SV28 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) ) )
= $false )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[684]) ).
thf(718,plain,
! [SV85: $i,SV28: $i,SV60: $i,SV10: mworld,SV44: mworld,SV72: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) ) )
= $false )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(719,plain,
! [SV94: mworld,SV60: $i,SV10: mworld,SV44: mworld,SV72: mworld,SV28: $i,SV85: $i] :
( ( ( member @ SV85 @ SV28 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
= $false )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(720,plain,
! [SV61: $i,SV86: $i,SV11: mworld,SV45: mworld,SV73: mworld,SV29: $i,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
| ( qmltpeq @ SV61 @ SV86 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) ) )
= $false )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[686]) ).
thf(721,plain,
! [SV61: $i,SV86: $i,SV29: $i,SV11: mworld,SV45: mworld,SV73: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) ) )
= $false )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(722,plain,
! [SV95: mworld,SV29: $i,SV11: mworld,SV45: mworld,SV73: mworld,SV86: $i,SV61: $i] :
( ( ( qmltpeq @ SV61 @ SV86 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
= $false )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(723,plain,
! [SV87: $i,SV31: $i,SV13: mworld,SV47: mworld,SV74: mworld,SV62: $i,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
| ( subset @ SV87 @ SV31 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) ) )
= $false )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[688]) ).
thf(724,plain,
! [SV87: $i,SV31: $i,SV62: $i,SV13: mworld,SV47: mworld,SV74: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) ) )
= $false )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(725,plain,
! [SV96: mworld,SV62: $i,SV13: mworld,SV47: mworld,SV74: mworld,SV31: $i,SV87: $i] :
( ( ( subset @ SV87 @ SV31 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
= $false )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(726,plain,
! [SV32: $i,SV88: $i,SV14: mworld,SV48: mworld,SV75: mworld,SV63: $i,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
| ( member @ SV32 @ SV88 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) ) )
= $false )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[690]) ).
thf(727,plain,
! [SV32: $i,SV88: $i,SV63: $i,SV14: mworld,SV48: mworld,SV75: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) ) )
= $false )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(728,plain,
! [SV97: mworld,SV63: $i,SV14: mworld,SV48: mworld,SV75: mworld,SV88: $i,SV32: $i] :
( ( ( member @ SV32 @ SV88 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
= $false )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(729,plain,
! [SV33: $i,SV89: $i,SV15: mworld,SV49: mworld,SV76: mworld,SV64: $i,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
| ( subset @ SV33 @ SV89 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) ) )
= $false )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[692]) ).
thf(730,plain,
! [SV33: $i,SV89: $i,SV64: $i,SV15: mworld,SV49: mworld,SV76: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) ) )
= $false )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(731,plain,
! [SV98: mworld,SV64: $i,SV15: mworld,SV49: mworld,SV76: mworld,SV89: $i,SV33: $i] :
( ( ( subset @ SV33 @ SV89 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
= $false )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(732,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV124: $i,SV135: mworld,SV110: mworld] :
( ( ( ~ ( mrel @ SV110 @ SV135 ) )
= $true )
| ( ( ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV135 @ SY2763 )
| ( member @ SV124 @ SV34 @ SY2763 ) )
| ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(733,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV117: $i,SV128: mworld,SV107: mworld] :
( ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( ~ ! [SY2761: mworld] :
( ~ ( mrel @ SV128 @ SY2761 )
| ( member @ SV117 @ SV34 @ SY2761 ) )
| ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(734,plain,
! [SV129: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV91: mworld] :
( ( ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV129 )
= $false )
| ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SV129 )
= $true )
| ( ( ! [SY2668: mworld] :
( ~ ( mrel @ SV91 @ SY2668 )
| ( subset @ SV34 @ SV65 @ SY2668 ) ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(735,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV141: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV141 )
| ( subset @ SV34 @ SV65 @ SV141 ) )
= $true )
| ( ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(736,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV136: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV136 ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ SV136 )
= $true )
| ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $false )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(737,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV108: mworld] :
( ( ( ! [SY2750: mworld] :
( ~ ( mrel @ SV108 @ SY2750 )
| ~ ! [SY2751: mworld] :
( ~ ( mrel @ SY2750 @ SY2751 )
| ( member @ SV120 @ SV22 @ SY2751 ) )
| ! [SY2752: mworld] :
( ~ ( mrel @ SY2750 @ SY2752 )
| ( member @ SV120 @ SV54 @ SY2752 ) ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(738,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV108: mworld] :
( ( ( ! [SY2753: mworld] :
( ~ ( mrel @ SV108 @ SY2753 )
| ~ ! [SY2754: mworld] :
( ~ ( mrel @ SY2753 @ SY2754 )
| ( member @ SV120 @ SV54 @ SY2754 ) )
| ! [SY2755: mworld] :
( ~ ( mrel @ SY2753 @ SY2755 )
| ( member @ SV120 @ SV22 @ SY2755 ) ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(739,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV142 )
| ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV142 @ SY2765 )
| ( member @ SV112 @ SV22 @ SY2765 ) )
| ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(740,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV143 )
| ~ ! [SY2767: mworld] :
( ~ ( mrel @ SV143 @ SY2767 )
| ( member @ SV112 @ SV54 @ SY2767 ) )
| ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(741,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
| ~ ! [SY2769: mworld] :
( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2769 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2769 ) )
| ! [SY2770: mworld] :
( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2770 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2770 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[704]) ).
thf(742,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 ) )
= $true )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(743,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(744,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(745,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV137: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV137 ) )
= $true )
| ( ( member @ SV82 @ SV26 @ SV137 )
= $true )
| ( ( ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(746,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV130: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ SV130 )
= $false )
| ( ( member @ SV82 @ SV26 @ SV130 )
= $true )
| ( ( ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $false )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(747,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV138: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV138 ) )
= $true )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV138 )
= $true )
| ( ( mrel @ SV105 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(748,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV131: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV131 )
= $false )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV131 )
= $true )
| ( ( member @ SV82 @ SV26 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
= $false )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(749,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV139: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV139 ) )
= $true )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV139 )
= $true )
| ( ( mrel @ SV105 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(750,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV132: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV132 )
= $false )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV132 )
= $true )
| ( ( member @ SV82 @ SV58 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
= $false )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(751,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV140: mworld,SV84: mworld] :
( ( ( ~ ( mrel @ SV84 @ SV140 ) )
= $true )
| ( ( qmltpeq @ SV27 @ SV59 @ SV140 )
= $true )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV84 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(752,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV133: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ SV133 )
= $false )
| ( ( qmltpeq @ SV27 @ SV59 @ SV133 )
= $true )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( subset @ SV59 @ SV27 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $false )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(753,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV134: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ SV134 )
= $false )
| ( ( qmltpeq @ SV27 @ SV59 @ SV134 )
= $true )
| ( ( subset @ SV27 @ SV59 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $false )
| ( ( mrel @ SV84 @ ( sK19_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(754,plain,
! [SV85: $i,SV28: $i,SV10: mworld,SV44: mworld,SV72: mworld,SV60: $i,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) ) )
= $false )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(755,plain,
! [SV94: mworld,SV10: mworld,SV44: mworld,SV72: mworld,SV60: $i,SV28: $i,SV85: $i] :
( ( ( member @ SV85 @ SV28 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
= $false )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(756,plain,
! [SV85: $i,SV28: $i,SV60: $i,SV10: mworld,SV44: mworld,SV72: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
= $true )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(757,plain,
! [SV72: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV60: $i,SV85: $i,SV145: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV145 )
| ( member @ SV85 @ SV60 @ SV145 ) )
= $true )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( member @ SV85 @ SV28 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
= $false )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(758,plain,
! [SV61: $i,SV86: $i,SV11: mworld,SV45: mworld,SV73: mworld,SV29: $i,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) ) )
= $false )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(759,plain,
! [SV95: mworld,SV11: mworld,SV45: mworld,SV73: mworld,SV29: $i,SV86: $i,SV61: $i] :
( ( ( qmltpeq @ SV61 @ SV86 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
= $false )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(760,plain,
! [SV61: $i,SV86: $i,SV29: $i,SV11: mworld,SV45: mworld,SV73: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(761,plain,
! [SV73: mworld,SV45: mworld,SV11: mworld,SV61: $i,SV86: $i,SV29: $i,SV146: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV146 )
| ( qmltpeq @ SV29 @ SV86 @ SV146 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( qmltpeq @ SV61 @ SV86 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
= $false )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(762,plain,
! [SV87: $i,SV31: $i,SV13: mworld,SV47: mworld,SV74: mworld,SV62: $i,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) ) )
= $false )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(763,plain,
! [SV96: mworld,SV13: mworld,SV47: mworld,SV74: mworld,SV62: $i,SV31: $i,SV87: $i] :
( ( ( subset @ SV87 @ SV31 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
= $false )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(764,plain,
! [SV87: $i,SV31: $i,SV62: $i,SV13: mworld,SV47: mworld,SV74: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
= $true )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[724]) ).
thf(765,plain,
! [SV74: mworld,SV47: mworld,SV13: mworld,SV31: $i,SV62: $i,SV87: $i,SV147: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV147 )
| ( subset @ SV87 @ SV62 @ SV147 ) )
= $true )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( subset @ SV87 @ SV31 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
= $false )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(766,plain,
! [SV32: $i,SV88: $i,SV14: mworld,SV48: mworld,SV75: mworld,SV63: $i,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) ) )
= $false )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(767,plain,
! [SV97: mworld,SV14: mworld,SV48: mworld,SV75: mworld,SV63: $i,SV88: $i,SV32: $i] :
( ( ( member @ SV32 @ SV88 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(768,plain,
! [SV32: $i,SV88: $i,SV63: $i,SV14: mworld,SV48: mworld,SV75: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
= $true )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(769,plain,
! [SV75: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV88: $i,SV63: $i,SV148: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV148 )
| ( member @ SV63 @ SV88 @ SV148 ) )
= $true )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( member @ SV32 @ SV88 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(770,plain,
! [SV33: $i,SV89: $i,SV15: mworld,SV49: mworld,SV76: mworld,SV64: $i,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) ) )
= $false )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(771,plain,
! [SV98: mworld,SV15: mworld,SV49: mworld,SV76: mworld,SV64: $i,SV89: $i,SV33: $i] :
( ( ( subset @ SV33 @ SV89 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(772,plain,
! [SV33: $i,SV89: $i,SV64: $i,SV15: mworld,SV49: mworld,SV76: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
= $true )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(773,plain,
! [SV76: mworld,SV49: mworld,SV15: mworld,SV33: $i,SV89: $i,SV64: $i,SV149: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV149 )
| ( subset @ SV64 @ SV89 @ SV149 ) )
= $true )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( subset @ SV33 @ SV89 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(774,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV65: $i,SV34: $i,SV124: $i,SV135: mworld,SV110: mworld] :
( ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV135 @ SY2763 )
| ( member @ SV124 @ SV34 @ SY2763 ) )
| ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(775,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV107: mworld,SV65: $i,SV34: $i,SV117: $i,SV128: mworld] :
( ( ( ~ ! [SY2761: mworld] :
( ~ ( mrel @ SV128 @ SY2761 )
| ( member @ SV117 @ SV34 @ SY2761 ) ) )
= $true )
| ( ( ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(776,plain,
! [SV129: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV150: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV150 )
| ( subset @ SV34 @ SV65 @ SV150 ) )
= $true )
| ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SV129 )
= $true )
| ( ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV129 )
= $false )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(777,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV141: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV141 ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ SV141 )
= $true )
| ( ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(778,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV136: mworld,SV91: mworld] :
( ( ( mrel @ SV91 @ SV136 )
= $false )
| ( ( subset @ SV34 @ SV65 @ SV136 )
= $true )
| ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV65 @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $false )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(779,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV151 )
| ~ ! [SY2771: mworld] :
( ~ ( mrel @ SV151 @ SY2771 )
| ( member @ SV120 @ SV22 @ SY2771 ) )
| ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(780,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV152 )
| ~ ! [SY2773: mworld] :
( ~ ( mrel @ SV152 @ SY2773 )
| ( member @ SV120 @ SV54 @ SY2773 ) )
| ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(781,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV142 ) )
= $true )
| ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV142 @ SY2765 )
| ( member @ SV112 @ SV22 @ SY2765 ) )
| ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(782,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV143 ) )
= $true )
| ( ( ~ ! [SY2767: mworld] :
( ~ ( mrel @ SV143 @ SY2767 )
| ( member @ SV112 @ SV54 @ SY2767 ) )
| ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(783,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(784,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2769: mworld] :
( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2769 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2769 ) )
| ! [SY2770: mworld] :
( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2770 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2770 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(785,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(786,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(787,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(788,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV137: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ SV137 )
= $false )
| ( ( member @ SV82 @ SV26 @ SV137 )
= $true )
| ( ( ! [SY2704: mworld] :
( ~ ( mrel @ SV104 @ SY2704 )
| ( member @ SV82 @ SV58 @ SY2704 ) ) )
= $true )
| ( ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(789,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV130: mworld,SV26: $i,SV58: $i,SV82: $i,SV153: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV153 )
| ( member @ SV82 @ SV58 @ SV153 ) )
= $true )
| ( ( member @ SV82 @ SV26 @ SV130 )
= $true )
| ( ( mrel @ SV104 @ SV130 )
= $false )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $false )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(790,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV138: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV138 )
= $false )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV138 )
= $true )
| ( ( mrel @ SV105 @ ( sK26_SY2705 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV105 ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(791,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV58: $i,SV26: $i,SV82: $i,SV139: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV139 )
= $false )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ SV139 )
= $true )
| ( ( mrel @ SV105 @ ( sK27_SY2706 @ SV8 @ SV42 @ SV71 @ SV26 @ SV58 @ SV82 @ SV105 ) )
= $true )
| ( ( mrel @ SV71 @ SV105 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(792,plain,
! [SV43: mworld,SV9: mworld,SV59: $i,SV27: $i,SV140: mworld,SV84: mworld] :
( ( ( mrel @ SV84 @ SV140 )
= $false )
| ( ( qmltpeq @ SV27 @ SV59 @ SV140 )
= $true )
| ( ( mrel @ SV84 @ ( sK15_SY2634 @ SV9 @ SV43 @ SV59 @ SV27 @ SV84 ) )
= $true )
| ( ( mrel @ SV84 @ ( sK28_SY2635 @ SV43 @ SV9 @ SV27 @ SV59 @ SV84 ) )
= $true )
| ( ( mrel @ SV43 @ SV84 )
= $false )
| ( ( eiw_di @ SV59 @ SV43 )
= $false )
| ( ( mrel @ SV9 @ SV43 )
= $false )
| ( ( eiw_di @ SV27 @ SV9 )
= $false )
| ( ( mrel @ mactual @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(793,plain,
! [SV85: $i,SV28: $i,SV10: mworld,SV44: mworld,SV72: mworld,SV60: $i,SV94: mworld] :
( ( ( mrel @ SV94 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( ! [SY2676: mworld] :
( ~ ( mrel @ SV94 @ SY2676 )
| ( member @ SV85 @ SV60 @ SY2676 ) ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(794,plain,
! [SV28: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV60: $i,SV85: $i,SV154: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV154 )
| ( member @ SV85 @ SV60 @ SV154 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( member @ SV85 @ SV28 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
= $false )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(795,plain,
! [SV72: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV60: $i,SV85: $i,SV155: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV155 )
| ( member @ SV85 @ SV60 @ SV155 ) )
= $true )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( mrel @ SV94 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(796,plain,
! [SV72: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV60: $i,SV85: $i,SV145: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV145 ) )
= $true )
| ( ( member @ SV85 @ SV60 @ SV145 )
= $true )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( member @ SV85 @ SV28 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
= $false )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(797,plain,
! [SV61: $i,SV86: $i,SV11: mworld,SV45: mworld,SV73: mworld,SV29: $i,SV95: mworld] :
( ( ( mrel @ SV95 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( ! [SY2679: mworld] :
( ~ ( mrel @ SV95 @ SY2679 )
| ( qmltpeq @ SV29 @ SV86 @ SY2679 ) ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(798,plain,
! [SV61: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV86: $i,SV29: $i,SV156: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV156 )
| ( qmltpeq @ SV29 @ SV86 @ SV156 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( qmltpeq @ SV61 @ SV86 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
= $false )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(799,plain,
! [SV73: mworld,SV45: mworld,SV11: mworld,SV61: $i,SV86: $i,SV29: $i,SV157: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV157 )
| ( qmltpeq @ SV29 @ SV86 @ SV157 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( mrel @ SV95 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(800,plain,
! [SV73: mworld,SV45: mworld,SV11: mworld,SV61: $i,SV86: $i,SV29: $i,SV146: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV146 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV86 @ SV146 )
= $true )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( qmltpeq @ SV61 @ SV86 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
= $false )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(801,plain,
! [SV87: $i,SV31: $i,SV13: mworld,SV47: mworld,SV74: mworld,SV62: $i,SV96: mworld] :
( ( ( mrel @ SV96 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( ! [SY2682: mworld] :
( ~ ( mrel @ SV96 @ SY2682 )
| ( subset @ SV87 @ SV62 @ SY2682 ) ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(802,plain,
! [SV31: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV62: $i,SV87: $i,SV158: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV158 )
| ( subset @ SV87 @ SV62 @ SV158 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( subset @ SV87 @ SV31 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
= $false )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(803,plain,
! [SV74: mworld,SV47: mworld,SV13: mworld,SV31: $i,SV62: $i,SV87: $i,SV159: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV159 )
| ( subset @ SV87 @ SV62 @ SV159 ) )
= $true )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( mrel @ SV96 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(804,plain,
! [SV74: mworld,SV47: mworld,SV13: mworld,SV31: $i,SV62: $i,SV87: $i,SV147: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV147 ) )
= $true )
| ( ( subset @ SV87 @ SV62 @ SV147 )
= $true )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( subset @ SV87 @ SV31 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
= $false )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(805,plain,
! [SV32: $i,SV88: $i,SV14: mworld,SV48: mworld,SV75: mworld,SV63: $i,SV97: mworld] :
( ( ( mrel @ SV97 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( ! [SY2685: mworld] :
( ~ ( mrel @ SV97 @ SY2685 )
| ( member @ SV63 @ SV88 @ SY2685 ) ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(806,plain,
! [SV32: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV88: $i,SV63: $i,SV160: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV160 )
| ( member @ SV63 @ SV88 @ SV160 ) )
= $true )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( member @ SV32 @ SV88 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(807,plain,
! [SV75: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV88: $i,SV63: $i,SV161: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV161 )
| ( member @ SV63 @ SV88 @ SV161 ) )
= $true )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV97 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(808,plain,
! [SV75: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV88: $i,SV63: $i,SV148: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV148 ) )
= $true )
| ( ( member @ SV63 @ SV88 @ SV148 )
= $true )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( member @ SV32 @ SV88 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(809,plain,
! [SV33: $i,SV89: $i,SV15: mworld,SV49: mworld,SV76: mworld,SV64: $i,SV98: mworld] :
( ( ( mrel @ SV98 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( ! [SY2688: mworld] :
( ~ ( mrel @ SV98 @ SY2688 )
| ( subset @ SV64 @ SV89 @ SY2688 ) ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(810,plain,
! [SV33: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV89: $i,SV64: $i,SV162: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV162 )
| ( subset @ SV64 @ SV89 @ SV162 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( subset @ SV33 @ SV89 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(811,plain,
! [SV76: mworld,SV49: mworld,SV15: mworld,SV33: $i,SV89: $i,SV64: $i,SV163: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV163 )
| ( subset @ SV64 @ SV89 @ SV163 ) )
= $true )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV98 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(812,plain,
! [SV76: mworld,SV49: mworld,SV15: mworld,SV33: $i,SV89: $i,SV64: $i,SV149: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV149 ) )
= $true )
| ( ( subset @ SV64 @ SV89 @ SV149 )
= $true )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( subset @ SV33 @ SV89 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(813,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV110: mworld,SV65: $i,SV34: $i,SV124: $i,SV135: mworld] :
( ( ( ~ ! [SY2763: mworld] :
( ~ ( mrel @ SV135 @ SY2763 )
| ( member @ SV124 @ SV34 @ SY2763 ) ) )
= $true )
| ( ( ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(814,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV107: mworld,SV65: $i,SV34: $i,SV117: $i,SV128: mworld] :
( ( ( ! [SY2761: mworld] :
( ~ ( mrel @ SV128 @ SY2761 )
| ( member @ SV117 @ SV34 @ SY2761 ) ) )
= $false )
| ( ( ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(815,plain,
! [SV129: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV150: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV150 ) )
= $true )
| ( ( subset @ SV34 @ SV65 @ SV150 )
= $true )
| ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SV129 )
= $true )
| ( ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV129 )
= $false )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(816,plain,
! [SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV141: mworld,SV91: mworld] :
( ( ( mrel @ SV91 @ SV141 )
= $false )
| ( ( subset @ SV34 @ SV65 @ SV141 )
= $true )
| ( ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ ( sK29_SY2740 @ SV16 @ SV50 @ SV65 @ SV34 @ SV91 ) )
= $true )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(817,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV151 ) )
= $true )
| ( ( ~ ! [SY2771: mworld] :
( ~ ( mrel @ SV151 @ SY2771 )
| ( member @ SV120 @ SV22 @ SY2771 ) )
| ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(818,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV152 ) )
= $true )
| ( ( ~ ! [SY2773: mworld] :
( ~ ( mrel @ SV152 @ SY2773 )
| ( member @ SV120 @ SV54 @ SY2773 ) )
| ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(819,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld,SV106: mworld] :
( ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV142 @ SY2765 )
| ( member @ SV112 @ SV22 @ SY2765 ) )
| ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(820,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld,SV106: mworld] :
( ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( ~ ! [SY2767: mworld] :
( ~ ( mrel @ SV143 @ SY2767 )
| ( member @ SV112 @ SV54 @ SY2767 ) )
| ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(821,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(822,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2769: mworld] :
( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2769 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2769 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(823,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2770: mworld] :
( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2770 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2770 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(824,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( ~ ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(825,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(826,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
| ~ ! [SY2775: mworld] :
( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2775 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2775 ) )
| ! [SY2776: mworld] :
( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2776 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2776 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[787]) ).
thf(827,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV137: mworld,SV26: $i,SV58: $i,SV82: $i,SV164: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV164 )
| ( member @ SV82 @ SV58 @ SV164 ) )
= $true )
| ( ( member @ SV82 @ SV26 @ SV137 )
= $true )
| ( ( mrel @ SV104 @ SV137 )
= $false )
| ( ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(828,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV130: mworld,SV26: $i,SV58: $i,SV82: $i,SV153: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV153 ) )
= $true )
| ( ( member @ SV82 @ SV58 @ SV153 )
= $true )
| ( ( member @ SV82 @ SV26 @ SV130 )
= $true )
| ( ( mrel @ SV104 @ SV130 )
= $false )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $false )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(829,plain,
! [SV28: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV60: $i,SV85: $i,SV165: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV165 )
| ( member @ SV85 @ SV60 @ SV165 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(830,plain,
! [SV28: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV60: $i,SV85: $i,SV154: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV154 ) )
= $true )
| ( ( member @ SV85 @ SV60 @ SV154 )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( member @ SV85 @ SV28 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
= $false )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(831,plain,
! [SV72: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV60: $i,SV85: $i,SV155: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV155 ) )
= $true )
| ( ( member @ SV85 @ SV60 @ SV155 )
= $true )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( mrel @ SV94 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(832,plain,
! [SV72: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV60: $i,SV85: $i,SV145: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV145 )
= $false )
| ( ( member @ SV85 @ SV60 @ SV145 )
= $true )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( member @ SV85 @ SV28 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
= $false )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(833,plain,
! [SV61: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV86: $i,SV29: $i,SV166: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV166 )
| ( qmltpeq @ SV29 @ SV86 @ SV166 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(834,plain,
! [SV61: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV86: $i,SV29: $i,SV156: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV156 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV86 @ SV156 )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( qmltpeq @ SV61 @ SV86 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
= $false )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(835,plain,
! [SV73: mworld,SV45: mworld,SV11: mworld,SV61: $i,SV86: $i,SV29: $i,SV157: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV157 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV86 @ SV157 )
= $true )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( mrel @ SV95 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(836,plain,
! [SV73: mworld,SV45: mworld,SV11: mworld,SV61: $i,SV86: $i,SV29: $i,SV146: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ SV146 )
= $false )
| ( ( qmltpeq @ SV29 @ SV86 @ SV146 )
= $true )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( qmltpeq @ SV61 @ SV86 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
= $false )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(837,plain,
! [SV31: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV62: $i,SV87: $i,SV167: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV167 )
| ( subset @ SV87 @ SV62 @ SV167 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(838,plain,
! [SV31: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV62: $i,SV87: $i,SV158: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV158 ) )
= $true )
| ( ( subset @ SV87 @ SV62 @ SV158 )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( subset @ SV87 @ SV31 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
= $false )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(839,plain,
! [SV74: mworld,SV47: mworld,SV13: mworld,SV31: $i,SV62: $i,SV87: $i,SV159: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV159 ) )
= $true )
| ( ( subset @ SV87 @ SV62 @ SV159 )
= $true )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( mrel @ SV96 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(840,plain,
! [SV74: mworld,SV47: mworld,SV13: mworld,SV31: $i,SV62: $i,SV87: $i,SV147: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV147 )
= $false )
| ( ( subset @ SV87 @ SV62 @ SV147 )
= $true )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( subset @ SV87 @ SV31 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
= $false )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(841,plain,
! [SV32: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV88: $i,SV63: $i,SV168: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV168 )
| ( member @ SV63 @ SV88 @ SV168 ) )
= $true )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV97 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(842,plain,
! [SV32: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV88: $i,SV63: $i,SV160: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV160 ) )
= $true )
| ( ( member @ SV63 @ SV88 @ SV160 )
= $true )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( member @ SV32 @ SV88 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(843,plain,
! [SV75: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV88: $i,SV63: $i,SV161: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV161 ) )
= $true )
| ( ( member @ SV63 @ SV88 @ SV161 )
= $true )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV97 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(844,plain,
! [SV75: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV88: $i,SV63: $i,SV148: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ SV148 )
= $false )
| ( ( member @ SV63 @ SV88 @ SV148 )
= $true )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( member @ SV32 @ SV88 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(845,plain,
! [SV33: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV89: $i,SV64: $i,SV169: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV169 )
| ( subset @ SV64 @ SV89 @ SV169 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(846,plain,
! [SV33: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV89: $i,SV64: $i,SV162: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV162 ) )
= $true )
| ( ( subset @ SV64 @ SV89 @ SV162 )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( subset @ SV33 @ SV89 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(847,plain,
! [SV76: mworld,SV49: mworld,SV15: mworld,SV33: $i,SV89: $i,SV64: $i,SV163: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV163 ) )
= $true )
| ( ( subset @ SV64 @ SV89 @ SV163 )
= $true )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV98 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(848,plain,
! [SV76: mworld,SV49: mworld,SV15: mworld,SV33: $i,SV89: $i,SV64: $i,SV149: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ SV149 )
= $false )
| ( ( subset @ SV64 @ SV89 @ SV149 )
= $true )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( subset @ SV33 @ SV89 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(849,plain,
! [SV50: mworld,SV16: mworld,SV90: mworld,SV110: mworld,SV65: $i,SV34: $i,SV124: $i,SV135: mworld] :
( ( ( ! [SY2763: mworld] :
( ~ ( mrel @ SV135 @ SY2763 )
| ( member @ SV124 @ SV34 @ SY2763 ) ) )
= $false )
| ( ( ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(850,plain,
! [SV117: $i,SV34: $i,SV65: $i,SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
| ( member @ SV117 @ SV34 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) ) )
= $false )
| ( ( ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[814]) ).
thf(851,plain,
! [SV129: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV34: $i,SV150: mworld,SV91: mworld] :
( ( ( mrel @ SV91 @ SV150 )
= $false )
| ( ( subset @ SV34 @ SV65 @ SV150 )
= $true )
| ( ( member @ ( sK13_SY2698 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV34 @ SV129 )
= $true )
| ( ( mrel @ ( sK17_SY2725 @ SV91 @ SV34 @ SV65 @ SV50 @ SV16 ) @ SV129 )
= $false )
| ( ( mrel @ SV50 @ SV91 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(852,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld,SV108: mworld] :
( ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( ~ ! [SY2771: mworld] :
( ~ ( mrel @ SV151 @ SY2771 )
| ( member @ SV120 @ SV22 @ SY2771 ) )
| ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(853,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld,SV108: mworld] :
( ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( ~ ! [SY2773: mworld] :
( ~ ( mrel @ SV152 @ SY2773 )
| ( member @ SV120 @ SV54 @ SY2773 ) )
| ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(854,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV106: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld] :
( ( ( ~ ! [SY2765: mworld] :
( ~ ( mrel @ SV142 @ SY2765 )
| ( member @ SV112 @ SV22 @ SY2765 ) ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(855,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV106: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld] :
( ( ( ~ ! [SY2767: mworld] :
( ~ ( mrel @ SV143 @ SY2767 )
| ( member @ SV112 @ SV54 @ SY2767 ) ) )
= $true )
| ( ( ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(856,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV170: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV170 )
| ( qmltpeq @ SV22 @ SV54 @ SV170 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(857,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2769: mworld] :
( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2769 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2769 ) ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(858,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[823]) ).
thf(859,plain,
! [SV144: mworld,SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ! [SY2718: mworld] :
( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ SY2718 )
| ~ ! [SY2719: mworld] :
( ~ ( mrel @ SY2718 @ SY2719 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2719 ) )
| ! [SY2720: mworld] :
( ~ ( mrel @ SY2718 @ SY2720 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2720 ) ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(860,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
| ~ ! [SY2777: mworld] :
( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2777 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2777 ) )
| ! [SY2778: mworld] :
( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2778 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2778 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[825]) ).
thf(861,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(862,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2775: mworld] :
( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2775 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2775 ) )
| ! [SY2776: mworld] :
( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2776 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2776 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(863,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV137: mworld,SV26: $i,SV58: $i,SV82: $i,SV164: mworld,SV104: mworld] :
( ( ( ~ ( mrel @ SV104 @ SV164 ) )
= $true )
| ( ( member @ SV82 @ SV58 @ SV164 )
= $true )
| ( ( member @ SV82 @ SV26 @ SV137 )
= $true )
| ( ( mrel @ SV104 @ SV137 )
= $false )
| ( ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(864,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV130: mworld,SV26: $i,SV58: $i,SV82: $i,SV153: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ SV153 )
= $false )
| ( ( member @ SV82 @ SV58 @ SV153 )
= $true )
| ( ( member @ SV82 @ SV26 @ SV130 )
= $true )
| ( ( mrel @ SV104 @ SV130 )
= $false )
| ( ( member @ SV82 @ ( union @ SV26 @ SV58 ) @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $false )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(865,plain,
! [SV28: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV60: $i,SV85: $i,SV165: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV165 ) )
= $true )
| ( ( member @ SV85 @ SV60 @ SV165 )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(866,plain,
! [SV28: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV60: $i,SV85: $i,SV154: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV154 )
= $false )
| ( ( member @ SV85 @ SV60 @ SV154 )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( member @ SV85 @ SV28 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
= $false )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(867,plain,
! [SV72: mworld,SV44: mworld,SV10: mworld,SV28: $i,SV60: $i,SV85: $i,SV155: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV155 )
= $false )
| ( ( member @ SV85 @ SV60 @ SV155 )
= $true )
| ( ( qmltpeq @ SV28 @ SV60 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $false )
| ( ( mrel @ SV94 @ ( sK30_SY2675 @ SV72 @ SV44 @ SV10 @ SV60 @ SV28 @ SV85 @ SV94 ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(868,plain,
! [SV61: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV86: $i,SV29: $i,SV166: mworld,SV95: mworld] :
( ( ( ~ ( mrel @ SV95 @ SV166 ) )
= $true )
| ( ( qmltpeq @ SV29 @ SV86 @ SV166 )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(869,plain,
! [SV61: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV86: $i,SV29: $i,SV156: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ SV156 )
= $false )
| ( ( qmltpeq @ SV29 @ SV86 @ SV156 )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( qmltpeq @ SV61 @ SV86 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
= $false )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(870,plain,
! [SV73: mworld,SV45: mworld,SV11: mworld,SV61: $i,SV86: $i,SV29: $i,SV157: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ SV157 )
= $false )
| ( ( qmltpeq @ SV29 @ SV86 @ SV157 )
= $true )
| ( ( qmltpeq @ SV29 @ SV61 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $false )
| ( ( mrel @ SV95 @ ( sK31_SY2678 @ SV73 @ SV45 @ SV11 @ SV29 @ SV86 @ SV61 @ SV95 ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(871,plain,
! [SV31: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV62: $i,SV87: $i,SV167: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV167 ) )
= $true )
| ( ( subset @ SV87 @ SV62 @ SV167 )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(872,plain,
! [SV31: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV62: $i,SV87: $i,SV158: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV158 )
= $false )
| ( ( subset @ SV87 @ SV62 @ SV158 )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( subset @ SV87 @ SV31 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
= $false )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(873,plain,
! [SV74: mworld,SV47: mworld,SV13: mworld,SV31: $i,SV62: $i,SV87: $i,SV159: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV159 )
= $false )
| ( ( subset @ SV87 @ SV62 @ SV159 )
= $true )
| ( ( qmltpeq @ SV31 @ SV62 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $false )
| ( ( mrel @ SV96 @ ( sK32_SY2681 @ SV74 @ SV47 @ SV13 @ SV62 @ SV31 @ SV87 @ SV96 ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(874,plain,
! [SV32: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV88: $i,SV63: $i,SV168: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV168 ) )
= $true )
| ( ( member @ SV63 @ SV88 @ SV168 )
= $true )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV97 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(875,plain,
! [SV32: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV88: $i,SV63: $i,SV160: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ SV160 )
= $false )
| ( ( member @ SV63 @ SV88 @ SV160 )
= $true )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( member @ SV32 @ SV88 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(876,plain,
! [SV75: mworld,SV48: mworld,SV14: mworld,SV32: $i,SV88: $i,SV63: $i,SV161: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ SV161 )
= $false )
| ( ( member @ SV63 @ SV88 @ SV161 )
= $true )
| ( ( qmltpeq @ SV32 @ SV63 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $false )
| ( ( mrel @ SV97 @ ( sK33_SY2684 @ SV75 @ SV48 @ SV14 @ SV63 @ SV88 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(877,plain,
! [SV33: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV89: $i,SV64: $i,SV169: mworld,SV98: mworld] :
( ( ( ~ ( mrel @ SV98 @ SV169 ) )
= $true )
| ( ( subset @ SV64 @ SV89 @ SV169 )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(878,plain,
! [SV33: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV89: $i,SV64: $i,SV162: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ SV162 )
= $false )
| ( ( subset @ SV64 @ SV89 @ SV162 )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( subset @ SV33 @ SV89 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(879,plain,
! [SV76: mworld,SV49: mworld,SV15: mworld,SV33: $i,SV89: $i,SV64: $i,SV163: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ SV163 )
= $false )
| ( ( subset @ SV64 @ SV89 @ SV163 )
= $true )
| ( ( qmltpeq @ SV33 @ SV64 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $false )
| ( ( mrel @ SV98 @ ( sK34_SY2687 @ SV76 @ SV49 @ SV15 @ SV64 @ SV89 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(880,plain,
! [SV124: $i,SV34: $i,SV65: $i,SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV135: mworld] :
( ( ( ~ ( mrel @ SV135 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
| ( member @ SV124 @ SV34 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) ) )
= $false )
| ( ( ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[849]) ).
thf(881,plain,
! [SV117: $i,SV34: $i,SV65: $i,SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) ) )
= $false )
| ( ( ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(882,plain,
! [SV128: mworld,SV65: $i,SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV34: $i,SV117: $i] :
( ( ( member @ SV117 @ SV34 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
= $false )
| ( ( ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(883,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV108: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld] :
( ( ( ~ ! [SY2771: mworld] :
( ~ ( mrel @ SV151 @ SY2771 )
| ( member @ SV120 @ SV22 @ SY2771 ) ) )
= $true )
| ( ( ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(884,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV108: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld] :
( ( ( ~ ! [SY2773: mworld] :
( ~ ( mrel @ SV152 @ SY2773 )
| ( member @ SV120 @ SV54 @ SY2773 ) ) )
= $true )
| ( ( ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(885,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV106: mworld,SV54: $i,SV22: $i,SV112: $i,SV142: mworld] :
( ( ( ! [SY2765: mworld] :
( ~ ( mrel @ SV142 @ SY2765 )
| ( member @ SV112 @ SV22 @ SY2765 ) ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(886,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV106: mworld,SV22: $i,SV54: $i,SV112: $i,SV143: mworld] :
( ( ( ! [SY2767: mworld] :
( ~ ( mrel @ SV143 @ SY2767 )
| ( member @ SV112 @ SV54 @ SY2767 ) ) )
= $false )
| ( ( ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(887,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV170: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV170 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV170 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(888,plain,
! [SV171: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV171 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV171 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(889,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(890,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(891,plain,
! [SV144: mworld,SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
| ~ ! [SY2779: mworld] :
( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2779 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2779 ) )
| ! [SY2780: mworld] :
( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2780 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2780 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[859]) ).
thf(892,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(893,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2777: mworld] :
( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2777 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2777 ) )
| ! [SY2778: mworld] :
( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2778 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2778 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(894,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(895,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2775: mworld] :
( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2775 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2775 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(896,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2776: mworld] :
( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2776 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2776 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(897,plain,
! [SV71: mworld,SV42: mworld,SV8: mworld,SV137: mworld,SV26: $i,SV58: $i,SV82: $i,SV164: mworld,SV104: mworld] :
( ( ( mrel @ SV104 @ SV164 )
= $false )
| ( ( member @ SV82 @ SV58 @ SV164 )
= $true )
| ( ( member @ SV82 @ SV26 @ SV137 )
= $true )
| ( ( mrel @ SV104 @ SV137 )
= $false )
| ( ( mrel @ SV104 @ ( sK18_SY2702 @ SV8 @ SV42 @ SV71 @ SV58 @ SV26 @ SV82 @ SV104 ) )
= $true )
| ( ( mrel @ SV71 @ SV104 )
= $false )
| ( ( eiw_di @ SV82 @ SV71 )
= $false )
| ( ( mrel @ SV42 @ SV71 )
= $false )
| ( ( eiw_di @ SV58 @ SV42 )
= $false )
| ( ( mrel @ SV8 @ SV42 )
= $false )
| ( ( eiw_di @ SV26 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(898,plain,
! [SV28: $i,SV72: mworld,SV44: mworld,SV10: mworld,SV60: $i,SV85: $i,SV165: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV165 )
= $false )
| ( ( member @ SV85 @ SV60 @ SV165 )
= $true )
| ( ( mrel @ SV94 @ ( sK20_SY2674 @ SV10 @ SV44 @ SV72 @ SV85 @ SV60 @ SV28 @ SV94 ) )
= $true )
| ( ( mrel @ SV94 @ ( sK36_SY2675 @ SV60 @ SV72 @ SV44 @ SV10 @ SV28 @ SV85 @ SV94 ) )
= $true )
| ( ( mrel @ SV72 @ SV94 )
= $false )
| ( ( eiw_di @ SV85 @ SV72 )
= $false )
| ( ( mrel @ SV44 @ SV72 )
= $false )
| ( ( eiw_di @ SV60 @ SV44 )
= $false )
| ( ( mrel @ SV10 @ SV44 )
= $false )
| ( ( eiw_di @ SV28 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(899,plain,
! [SV61: $i,SV73: mworld,SV45: mworld,SV11: mworld,SV86: $i,SV29: $i,SV166: mworld,SV95: mworld] :
( ( ( mrel @ SV95 @ SV166 )
= $false )
| ( ( qmltpeq @ SV29 @ SV86 @ SV166 )
= $true )
| ( ( mrel @ SV95 @ ( sK21_SY2677 @ SV11 @ SV45 @ SV73 @ SV86 @ SV61 @ SV29 @ SV95 ) )
= $true )
| ( ( mrel @ SV95 @ ( sK37_SY2678 @ SV29 @ SV73 @ SV45 @ SV11 @ SV86 @ SV61 @ SV95 ) )
= $true )
| ( ( mrel @ SV73 @ SV95 )
= $false )
| ( ( eiw_di @ SV86 @ SV73 )
= $false )
| ( ( mrel @ SV45 @ SV73 )
= $false )
| ( ( eiw_di @ SV61 @ SV45 )
= $false )
| ( ( mrel @ SV11 @ SV45 )
= $false )
| ( ( eiw_di @ SV29 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(900,plain,
! [SV31: $i,SV74: mworld,SV47: mworld,SV13: mworld,SV62: $i,SV87: $i,SV167: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV167 )
= $false )
| ( ( subset @ SV87 @ SV62 @ SV167 )
= $true )
| ( ( mrel @ SV96 @ ( sK22_SY2680 @ SV13 @ SV47 @ SV74 @ SV87 @ SV62 @ SV31 @ SV96 ) )
= $true )
| ( ( mrel @ SV96 @ ( sK38_SY2681 @ SV62 @ SV74 @ SV47 @ SV13 @ SV31 @ SV87 @ SV96 ) )
= $true )
| ( ( mrel @ SV74 @ SV96 )
= $false )
| ( ( eiw_di @ SV87 @ SV74 )
= $false )
| ( ( mrel @ SV47 @ SV74 )
= $false )
| ( ( eiw_di @ SV62 @ SV47 )
= $false )
| ( ( mrel @ SV13 @ SV47 )
= $false )
| ( ( eiw_di @ SV31 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(901,plain,
! [SV32: $i,SV75: mworld,SV48: mworld,SV14: mworld,SV88: $i,SV63: $i,SV168: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ SV168 )
= $false )
| ( ( member @ SV63 @ SV88 @ SV168 )
= $true )
| ( ( mrel @ SV97 @ ( sK23_SY2683 @ SV14 @ SV48 @ SV75 @ SV88 @ SV63 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV97 @ ( sK39_SY2684 @ SV63 @ SV75 @ SV48 @ SV14 @ SV88 @ SV32 @ SV97 ) )
= $true )
| ( ( mrel @ SV75 @ SV97 )
= $false )
| ( ( eiw_di @ SV88 @ SV75 )
= $false )
| ( ( mrel @ SV48 @ SV75 )
= $false )
| ( ( eiw_di @ SV63 @ SV48 )
= $false )
| ( ( mrel @ SV14 @ SV48 )
= $false )
| ( ( eiw_di @ SV32 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(902,plain,
! [SV33: $i,SV76: mworld,SV49: mworld,SV15: mworld,SV89: $i,SV64: $i,SV169: mworld,SV98: mworld] :
( ( ( mrel @ SV98 @ SV169 )
= $false )
| ( ( subset @ SV64 @ SV89 @ SV169 )
= $true )
| ( ( mrel @ SV98 @ ( sK24_SY2686 @ SV15 @ SV49 @ SV76 @ SV89 @ SV64 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV98 @ ( sK40_SY2687 @ SV64 @ SV76 @ SV49 @ SV15 @ SV89 @ SV33 @ SV98 ) )
= $true )
| ( ( mrel @ SV76 @ SV98 )
= $false )
| ( ( eiw_di @ SV89 @ SV76 )
= $false )
| ( ( mrel @ SV49 @ SV76 )
= $false )
| ( ( eiw_di @ SV64 @ SV49 )
= $false )
| ( ( mrel @ SV15 @ SV49 )
= $false )
| ( ( eiw_di @ SV33 @ SV15 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(903,plain,
! [SV124: $i,SV34: $i,SV65: $i,SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV135: mworld] :
( ( ( ~ ( mrel @ SV135 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) ) )
= $false )
| ( ( ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(904,plain,
! [SV135: mworld,SV65: $i,SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV34: $i,SV124: $i] :
( ( ( member @ SV124 @ SV34 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
= $false )
| ( ( ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(905,plain,
! [SV117: $i,SV34: $i,SV65: $i,SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV128: mworld] :
( ( ( mrel @ SV128 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
= $true )
| ( ( ! [SY2762: mworld] :
( ~ ( mrel @ SV128 @ SY2762 )
| ( member @ SV117 @ SV65 @ SY2762 ) ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(906,plain,
! [SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV34: $i,SV65: $i,SV117: $i,SV172: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV172 )
| ( member @ SV117 @ SV65 @ SV172 ) )
= $true )
| ( ( member @ SV117 @ SV34 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
= $false )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(907,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV108: mworld,SV54: $i,SV22: $i,SV120: $i,SV151: mworld] :
( ( ( ! [SY2771: mworld] :
( ~ ( mrel @ SV151 @ SY2771 )
| ( member @ SV120 @ SV22 @ SY2771 ) ) )
= $false )
| ( ( ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(908,plain,
! [SV38: mworld,SV2: mworld,SV79: mworld,SV108: mworld,SV22: $i,SV54: $i,SV120: $i,SV152: mworld] :
( ( ( ! [SY2773: mworld] :
( ~ ( mrel @ SV152 @ SY2773 )
| ( member @ SV120 @ SV54 @ SY2773 ) ) )
= $false )
| ( ( ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(909,plain,
! [SV112: $i,SV22: $i,SV54: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
| ( member @ SV112 @ SV22 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[885]) ).
thf(910,plain,
! [SV112: $i,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
| ( member @ SV112 @ SV54 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) ) )
= $false )
| ( ( ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[886]) ).
thf(911,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV170: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV170 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV170 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(912,plain,
! [SV171: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV171 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(913,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(914,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV173: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV173 )
| ( qmltpeq @ SV22 @ SV54 @ SV173 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(915,plain,
! [SV144: mworld,SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(916,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ! [SY2779: mworld] :
( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2779 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2779 ) )
| ! [SY2780: mworld] :
( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2780 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2780 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(917,plain,
! [SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(918,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ! [SY2777: mworld] :
( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2777 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2777 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(919,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2778: mworld] :
( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2778 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2778 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(920,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV174: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV174 )
| ( qmltpeq @ SV22 @ SV54 @ SV174 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(921,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2775: mworld] :
( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2775 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2775 ) ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(922,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[896]) ).
thf(923,plain,
! [SV124: $i,SV34: $i,SV65: $i,SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV135: mworld] :
( ( ( mrel @ SV135 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
= $true )
| ( ( ! [SY2764: mworld] :
( ~ ( mrel @ SV135 @ SY2764 )
| ( member @ SV124 @ SV65 @ SY2764 ) ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(924,plain,
! [SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV34: $i,SV65: $i,SV124: $i,SV175: mworld,SV135: mworld] :
( ( ( ~ ( mrel @ SV135 @ SV175 )
| ( member @ SV124 @ SV65 @ SV175 ) )
= $true )
| ( ( member @ SV124 @ SV34 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
= $false )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(925,plain,
! [SV34: $i,SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV117: $i,SV176: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV176 )
| ( member @ SV117 @ SV65 @ SV176 ) )
= $true )
| ( ( mrel @ SV128 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(926,plain,
! [SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV34: $i,SV65: $i,SV117: $i,SV172: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV172 ) )
= $true )
| ( ( member @ SV117 @ SV65 @ SV172 )
= $true )
| ( ( member @ SV117 @ SV34 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
= $false )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(927,plain,
! [SV120: $i,SV22: $i,SV54: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
| ( member @ SV120 @ SV22 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) ) )
= $false )
| ( ( ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[907]) ).
thf(928,plain,
! [SV120: $i,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
| ( member @ SV120 @ SV54 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) ) )
= $false )
| ( ( ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[908]) ).
thf(929,plain,
! [SV112: $i,SV22: $i,SV54: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(930,plain,
! [SV142: mworld,SV54: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV112: $i] :
( ( ( member @ SV112 @ SV22 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $false )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(931,plain,
! [SV112: $i,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) ) )
= $false )
| ( ( ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(932,plain,
! [SV143: mworld,SV22: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV112: $i] :
( ( ( member @ SV112 @ SV54 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $false )
| ( ( ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(933,plain,
! [SV171: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV171 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(934,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV177: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV177 )
| ( qmltpeq @ SV22 @ SV54 @ SV177 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(935,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV173: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV173 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV173 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(936,plain,
! [SV144: mworld,SV80: mworld,SV22: $i,SV54: $i,SV38: mworld,SV2: mworld] :
( ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(937,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ! [SY2779: mworld] :
( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2779 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2779 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(938,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ! [SY2780: mworld] :
( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2780 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SY2780 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(939,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV178: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV178 )
| ( qmltpeq @ SV22 @ SV54 @ SV178 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(940,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ! [SY2777: mworld] :
( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2777 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2777 ) ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(941,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[919]) ).
thf(942,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV174: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV174 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV174 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(943,plain,
! [SV179: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV179 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV179 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(944,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(945,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(946,plain,
! [SV34: $i,SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV124: $i,SV180: mworld,SV135: mworld] :
( ( ( ~ ( mrel @ SV135 @ SV180 )
| ( member @ SV124 @ SV65 @ SV180 ) )
= $true )
| ( ( mrel @ SV135 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(947,plain,
! [SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV34: $i,SV65: $i,SV124: $i,SV175: mworld,SV135: mworld] :
( ( ( ~ ( mrel @ SV135 @ SV175 ) )
= $true )
| ( ( member @ SV124 @ SV65 @ SV175 )
= $true )
| ( ( member @ SV124 @ SV34 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
= $false )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(948,plain,
! [SV34: $i,SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV117: $i,SV176: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV176 ) )
= $true )
| ( ( member @ SV117 @ SV65 @ SV176 )
= $true )
| ( ( mrel @ SV128 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(949,plain,
! [SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV34: $i,SV65: $i,SV117: $i,SV172: mworld,SV128: mworld] :
( ( ( mrel @ SV128 @ SV172 )
= $false )
| ( ( member @ SV117 @ SV65 @ SV172 )
= $true )
| ( ( member @ SV117 @ SV34 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
= $false )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(950,plain,
! [SV120: $i,SV22: $i,SV54: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) ) )
= $false )
| ( ( ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(951,plain,
! [SV151: mworld,SV54: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV120: $i] :
( ( ( member @ SV120 @ SV22 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $false )
| ( ( ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(952,plain,
! [SV120: $i,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) ) )
= $false )
| ( ( ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(953,plain,
! [SV152: mworld,SV22: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV120: $i] :
( ( ( member @ SV120 @ SV54 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $false )
| ( ( ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(954,plain,
! [SV112: $i,SV22: $i,SV54: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV142: mworld] :
( ( ( mrel @ SV142 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $true )
| ( ( ! [SY2766: mworld] :
( ~ ( mrel @ SV142 @ SY2766 )
| ( member @ SV112 @ SV54 @ SY2766 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(955,plain,
! [SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV54: $i,SV112: $i,SV181: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ SV181 )
| ( member @ SV112 @ SV54 @ SV181 ) )
= $true )
| ( ( member @ SV112 @ SV22 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $false )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(956,plain,
! [SV112: $i,SV54: $i,SV22: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV143: mworld] :
( ( ( mrel @ SV143 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $true )
| ( ( ! [SY2768: mworld] :
( ~ ( mrel @ SV143 @ SY2768 )
| ( member @ SV112 @ SV22 @ SY2768 ) ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(957,plain,
! [SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV112: $i,SV182: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ SV182 )
| ( member @ SV112 @ SV22 @ SV182 ) )
= $true )
| ( ( member @ SV112 @ SV54 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $false )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(958,plain,
! [SV171: mworld,SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV183: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV183 )
| ( qmltpeq @ SV22 @ SV54 @ SV183 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV171 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(959,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV177: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV177 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV177 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(960,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV173: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV173 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV173 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(961,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV184: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV184 )
| ( qmltpeq @ SV22 @ SV54 @ SV184 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(962,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ! [SY2779: mworld] :
( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SY2779 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SY2779 ) ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(963,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[938]) ).
thf(964,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV178: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV178 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV178 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(965,plain,
! [SV185: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV185 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV185 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(966,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(967,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(968,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV174: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV174 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV174 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(969,plain,
! [SV179: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV179 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV179 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(970,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(971,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV186: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV186 )
| ( qmltpeq @ SV22 @ SV54 @ SV186 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(972,plain,
! [SV34: $i,SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV124: $i,SV180: mworld,SV135: mworld] :
( ( ( ~ ( mrel @ SV135 @ SV180 ) )
= $true )
| ( ( member @ SV124 @ SV65 @ SV180 )
= $true )
| ( ( mrel @ SV135 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(973,plain,
! [SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV34: $i,SV65: $i,SV124: $i,SV175: mworld,SV135: mworld] :
( ( ( mrel @ SV135 @ SV175 )
= $false )
| ( ( member @ SV124 @ SV65 @ SV175 )
= $true )
| ( ( member @ SV124 @ SV34 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
= $false )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(974,plain,
! [SV34: $i,SV107: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV117: $i,SV176: mworld,SV128: mworld] :
( ( ( mrel @ SV128 @ SV176 )
= $false )
| ( ( member @ SV117 @ SV65 @ SV176 )
= $true )
| ( ( mrel @ SV128 @ ( sK43_SY2761 @ SV50 @ SV16 @ SV90 @ SV107 @ SV65 @ SV34 @ SV117 @ SV128 ) )
= $true )
| ( ( mrel @ SV107 @ SV128 )
= $false )
| ( ( eiw_di @ SV117 @ SV107 )
= $false )
| ( ( mrel @ SV90 @ SV107 )
= $false )
| ( ( subset @ SV34 @ SV65 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $false )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(975,plain,
! [SV120: $i,SV22: $i,SV54: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV151: mworld] :
( ( ( mrel @ SV151 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $true )
| ( ( ! [SY2772: mworld] :
( ~ ( mrel @ SV151 @ SY2772 )
| ( member @ SV120 @ SV54 @ SY2772 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(976,plain,
! [SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV54: $i,SV120: $i,SV187: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ SV187 )
| ( member @ SV120 @ SV54 @ SV187 ) )
= $true )
| ( ( member @ SV120 @ SV22 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $false )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(977,plain,
! [SV120: $i,SV54: $i,SV22: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV152: mworld] :
( ( ( mrel @ SV152 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $true )
| ( ( ! [SY2774: mworld] :
( ~ ( mrel @ SV152 @ SY2774 )
| ( member @ SV120 @ SV22 @ SY2774 ) ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(978,plain,
! [SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV120: $i,SV188: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV188 )
| ( member @ SV120 @ SV22 @ SV188 ) )
= $true )
| ( ( member @ SV120 @ SV54 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $false )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(979,plain,
! [SV22: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV112: $i,SV189: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ SV189 )
| ( member @ SV112 @ SV54 @ SV189 ) )
= $true )
| ( ( mrel @ SV142 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(980,plain,
! [SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV54: $i,SV112: $i,SV181: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ SV181 ) )
= $true )
| ( ( member @ SV112 @ SV54 @ SV181 )
= $true )
| ( ( member @ SV112 @ SV22 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $false )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(981,plain,
! [SV54: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV112: $i,SV190: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ SV190 )
| ( member @ SV112 @ SV22 @ SV190 ) )
= $true )
| ( ( mrel @ SV143 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(982,plain,
! [SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV112: $i,SV182: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ SV182 ) )
= $true )
| ( ( member @ SV112 @ SV22 @ SV182 )
= $true )
| ( ( member @ SV112 @ SV54 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $false )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(983,plain,
! [SV171: mworld,SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV183: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV183 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV183 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV171 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(984,plain,
! [SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV177: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV177 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV177 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK44_SY2770 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(985,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV184: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV184 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV184 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(986,plain,
! [SV191: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV191 )
| ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV191 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(987,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(988,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(989,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV178: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV178 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV178 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(990,plain,
! [SV185: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( ~ ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV185 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(991,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(992,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV192: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV192 )
| ( qmltpeq @ SV22 @ SV54 @ SV192 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(993,plain,
! [SV179: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV179 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV179 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(994,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV193: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV193 )
| ( qmltpeq @ SV22 @ SV54 @ SV193 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(995,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV186: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV186 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV186 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(996,plain,
! [SV34: $i,SV110: mworld,SV90: mworld,SV16: mworld,SV50: mworld,SV65: $i,SV124: $i,SV180: mworld,SV135: mworld] :
( ( ( mrel @ SV135 @ SV180 )
= $false )
| ( ( member @ SV124 @ SV65 @ SV180 )
= $true )
| ( ( mrel @ SV135 @ ( sK46_SY2763 @ SV50 @ SV16 @ SV90 @ SV110 @ SV65 @ SV34 @ SV124 @ SV135 ) )
= $true )
| ( ( mrel @ SV110 @ SV135 )
= $false )
| ( ( eiw_di @ SV124 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ SV110 )
= $false )
| ( ( mrel @ SV90 @ ( sK10_SY2657 @ SV16 @ SV50 @ SV65 @ SV34 @ SV90 ) )
= $true )
| ( ( mrel @ SV50 @ SV90 )
= $false )
| ( ( eiw_di @ SV65 @ SV50 )
= $false )
| ( ( mrel @ SV16 @ SV50 )
= $false )
| ( ( eiw_di @ SV34 @ SV16 )
= $false )
| ( ( mrel @ mactual @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(997,plain,
! [SV22: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV120: $i,SV194: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ SV194 )
| ( member @ SV120 @ SV54 @ SV194 ) )
= $true )
| ( ( mrel @ SV151 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(998,plain,
! [SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV54: $i,SV120: $i,SV187: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ SV187 ) )
= $true )
| ( ( member @ SV120 @ SV54 @ SV187 )
= $true )
| ( ( member @ SV120 @ SV22 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $false )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(999,plain,
! [SV54: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV120: $i,SV195: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV195 )
| ( member @ SV120 @ SV22 @ SV195 ) )
= $true )
| ( ( mrel @ SV152 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1000,plain,
! [SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV120: $i,SV188: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV188 ) )
= $true )
| ( ( member @ SV120 @ SV22 @ SV188 )
= $true )
| ( ( member @ SV120 @ SV54 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $false )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1001,plain,
! [SV22: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV112: $i,SV189: mworld,SV142: mworld] :
( ( ( ~ ( mrel @ SV142 @ SV189 ) )
= $true )
| ( ( member @ SV112 @ SV54 @ SV189 )
= $true )
| ( ( mrel @ SV142 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1002,plain,
! [SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV54: $i,SV112: $i,SV181: mworld,SV142: mworld] :
( ( ( mrel @ SV142 @ SV181 )
= $false )
| ( ( member @ SV112 @ SV54 @ SV181 )
= $true )
| ( ( member @ SV112 @ SV22 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $false )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1003,plain,
! [SV54: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV112: $i,SV190: mworld,SV143: mworld] :
( ( ( ~ ( mrel @ SV143 @ SV190 ) )
= $true )
| ( ( member @ SV112 @ SV22 @ SV190 )
= $true )
| ( ( mrel @ SV143 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1004,plain,
! [SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV112: $i,SV182: mworld,SV143: mworld] :
( ( ( mrel @ SV143 @ SV182 )
= $false )
| ( ( member @ SV112 @ SV22 @ SV182 )
= $true )
| ( ( member @ SV112 @ SV54 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $false )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1005,plain,
! [SV171: mworld,SV38: mworld,SV2: mworld,SV54: $i,SV22: $i,SV183: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV183 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV183 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV171 )
= $true )
| ( ( mrel @ ( sK41_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV171 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1006,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV184: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV184 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV184 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK8_SY2611 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1007,plain,
! [SV191: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( ~ ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV191 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV191 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1008,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1009,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV196: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV196 )
| ( qmltpeq @ SV22 @ SV54 @ SV196 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1010,plain,
! [SV185: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld] :
( ( ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV185 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1011,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV197: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV197 )
| ( qmltpeq @ SV22 @ SV54 @ SV197 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1012,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV192: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV192 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV192 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1013,plain,
! [SV179: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV198: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV198 )
| ( qmltpeq @ SV22 @ SV54 @ SV198 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV179 )
= $true )
| ( ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV179 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1014,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV193: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV193 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV193 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1015,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV186: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV186 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV186 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1016,plain,
! [SV22: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV120: $i,SV194: mworld,SV151: mworld] :
( ( ( ~ ( mrel @ SV151 @ SV194 ) )
= $true )
| ( ( member @ SV120 @ SV54 @ SV194 )
= $true )
| ( ( mrel @ SV151 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[997]) ).
thf(1017,plain,
! [SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV54: $i,SV120: $i,SV187: mworld,SV151: mworld] :
( ( ( mrel @ SV151 @ SV187 )
= $false )
| ( ( member @ SV120 @ SV54 @ SV187 )
= $true )
| ( ( member @ SV120 @ SV22 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $false )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1018,plain,
! [SV54: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV120: $i,SV195: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV195 ) )
= $true )
| ( ( member @ SV120 @ SV22 @ SV195 )
= $true )
| ( ( mrel @ SV152 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1019,plain,
! [SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV120: $i,SV188: mworld,SV152: mworld] :
( ( ( mrel @ SV152 @ SV188 )
= $false )
| ( ( member @ SV120 @ SV22 @ SV188 )
= $true )
| ( ( member @ SV120 @ SV54 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $false )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1020,plain,
! [SV22: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV112: $i,SV189: mworld,SV142: mworld] :
( ( ( mrel @ SV142 @ SV189 )
= $false )
| ( ( member @ SV112 @ SV54 @ SV189 )
= $true )
| ( ( mrel @ SV142 @ ( sK48_SY2765 @ SV38 @ SV2 @ SV79 @ SV106 @ SV54 @ SV22 @ SV112 @ SV142 ) )
= $true )
| ( ( mrel @ SV106 @ SV142 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1021,plain,
! [SV54: $i,SV106: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV112: $i,SV190: mworld,SV143: mworld] :
( ( ( mrel @ SV143 @ SV190 )
= $false )
| ( ( member @ SV112 @ SV22 @ SV190 )
= $true )
| ( ( mrel @ SV143 @ ( sK49_SY2767 @ SV38 @ SV2 @ SV79 @ SV106 @ SV22 @ SV54 @ SV112 @ SV143 ) )
= $true )
| ( ( mrel @ SV106 @ SV143 )
= $false )
| ( ( eiw_di @ SV112 @ SV106 )
= $false )
| ( ( mrel @ SV79 @ SV106 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $false )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1022,plain,
! [SV191: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV80: mworld,SV144: mworld] :
( ( ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV191 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV191 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( ! [SY2619: mworld] :
( ~ ( mrel @ SV80 @ SY2619 )
| ( qmltpeq @ SV22 @ SV54 @ SY2619 ) ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1023,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV199: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV199 )
| ( qmltpeq @ SV22 @ SV54 @ SV199 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1024,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV196: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV196 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV196 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1025,plain,
! [SV185: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV200: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV200 )
| ( qmltpeq @ SV22 @ SV54 @ SV200 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV185 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1026,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV197: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV197 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV197 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1027,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV192: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV192 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV192 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1028,plain,
! [SV179: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV198: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV198 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV198 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV179 )
= $true )
| ( ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV179 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1029,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV193: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV193 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV193 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK50_SY2776 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1030,plain,
! [SV22: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV120: $i,SV194: mworld,SV151: mworld] :
( ( ( mrel @ SV151 @ SV194 )
= $false )
| ( ( member @ SV120 @ SV54 @ SV194 )
= $true )
| ( ( mrel @ SV151 @ ( sK51_SY2771 @ SV38 @ SV2 @ SV79 @ SV108 @ SV54 @ SV22 @ SV120 @ SV151 ) )
= $true )
| ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1031,plain,
! [SV54: $i,SV108: mworld,SV79: mworld,SV2: mworld,SV38: mworld,SV22: $i,SV120: $i,SV195: mworld,SV152: mworld] :
( ( ( mrel @ SV152 @ SV195 )
= $false )
| ( ( member @ SV120 @ SV22 @ SV195 )
= $true )
| ( ( mrel @ SV152 @ ( sK52_SY2773 @ SV38 @ SV2 @ SV79 @ SV108 @ SV22 @ SV54 @ SV120 @ SV152 ) )
= $true )
| ( ( mrel @ SV108 @ SV152 )
= $false )
| ( ( eiw_di @ SV120 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ SV108 )
= $false )
| ( ( mrel @ SV79 @ ( sK7_SY2602 @ SV2 @ SV38 @ SV54 @ SV22 @ SV79 ) )
= $true )
| ( ( mrel @ SV38 @ SV79 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1032,plain,
! [SV191: mworld,SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV201: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV201 )
| ( qmltpeq @ SV22 @ SV54 @ SV201 ) )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV191 )
= $true )
| ( ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV191 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1033,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV199: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV199 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV199 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1034,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV196: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV196 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV196 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1035,plain,
! [SV185: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV200: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV200 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV200 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV185 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1036,plain,
! [SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV197: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV197 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV197 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK53_SY2778 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1037,plain,
! [SV179: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV198: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV198 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV198 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV179 )
= $true )
| ( ( mrel @ ( sK42_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV179 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1038,plain,
! [SV191: mworld,SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV201: mworld,SV80: mworld] :
( ( ( ~ ( mrel @ SV80 @ SV201 ) )
= $true )
| ( ( qmltpeq @ SV22 @ SV54 @ SV201 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV191 )
= $true )
| ( ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV191 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1039,plain,
! [SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV199: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV199 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV199 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK54_SY2780 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 @ SV144 ) )
= $true )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1040,plain,
! [SV185: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV200: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV200 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV200 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ ( sK35_SY2760 @ SV2 @ SV38 @ SV54 @ SV22 @ SV80 ) )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV185 )
= $true )
| ( ( mrel @ ( sK45_SY2718 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV185 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1041,plain,
! [SV191: mworld,SV144: mworld,SV2: mworld,SV38: mworld,SV54: $i,SV22: $i,SV201: mworld,SV80: mworld] :
( ( ( mrel @ SV80 @ SV201 )
= $false )
| ( ( qmltpeq @ SV22 @ SV54 @ SV201 )
= $true )
| ( ( mrel @ ( sK25_SY2715 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV144 )
= $false )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV22 @ SV144 )
= $true )
| ( ( member @ ( sK12_SY2691 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV54 @ SV191 )
= $true )
| ( ( mrel @ ( sK47_SY2718 @ SV144 @ SV80 @ SV22 @ SV54 @ SV38 @ SV2 ) @ SV191 )
= $false )
| ( ( mrel @ SV38 @ SV80 )
= $false )
| ( ( eiw_di @ SV54 @ SV38 )
= $false )
| ( ( mrel @ SV2 @ SV38 )
= $false )
| ( ( eiw_di @ SV22 @ SV2 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1042,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[65,1041,1040,1039,1037,1036,1034,1031,1030,1029,1027,1021,1020,1019,1017,1015,1006,1005,1004,1002,996,989,984,974,973,968,960,949,911,902,901,900,899,898,897,879,878,876,875,873,872,870,869,867,866,864,851,848,844,840,836,832,816,792,791,790,778,753,752,750,748,716,696,667,646,645,638,633,628,612,611,604,601,565,545,492,476,470,453,330,251,245,237,184,166,150,145,86]) ).
thf(1043,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1042]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL947^10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n019.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 12:37:31 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.93/2.98
% 15.93/2.98 No.of.Axioms: 19
% 15.93/2.98
% 15.93/2.98 Length.of.Defs: 1663
% 15.93/2.98
% 15.93/2.98 Contains.Choice.Funs: false
% 15.93/2.98 ....................................................................................
% 15.93/2.98
% 15.93/2.98 ********************************
% 15.93/2.98 * All subproblems solved! *
% 15.93/2.98 ********************************
% 15.93/2.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1042,loop_count:0,foatp_calls:1,translation:fof_full)
% 15.93/2.98
% 15.93/2.98 %**** Beginning of derivation protocol ****
% 15.93/2.98 % SZS output start CNFRefutation
% See solution above
% 15.93/3.00
% 15.93/3.00 %**** End of derivation protocol ****
% 15.93/3.00 %**** no. of clauses in derivation: 1043 ****
% 15.93/3.00 %**** clause counter: 1042 ****
% 15.93/3.00
% 15.93/3.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1042,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------